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Finding the Fourth Proportional to 513,096.84, 708,298.44 and 392,243.16

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Solution

The fourth proportional to 513,096.84, 708,298.44 and 392,243.16 is: 541,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,096.84 : 708,298.44 = 392,243.16 : x
  2. Step 2: Convert to fraction form
    513,096.84/708,298.44 = 392,243.16/x
  3. Step 3: Cross multiply
    513,096.84x = 708,298.44 × 392,243.16
  4. Step 4: Simplify right side
    513,096.84x = 277,825,218,328.67
  5. Step 5: Solve for x
    x = 277,825,218,328.67/513,096.84
  6. Step 6: Final answer
    x = 541,467.41

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.