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Finding the Fourth Proportional to 542,685.84, 814,146.32 and 163,574.86

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Solution

The fourth proportional to 542,685.84, 814,146.32 and 163,574.86 is: 245,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,685.84 : 814,146.32 = 163,574.86 : x
  2. Step 2: Convert to fraction form
    542,685.84/814,146.32 = 163,574.86/x
  3. Step 3: Cross multiply
    542,685.84x = 814,146.32 × 163,574.86
  4. Step 4: Simplify right side
    542,685.84x = 133,173,869,495.64
  5. Step 5: Solve for x
    x = 133,173,869,495.64/542,685.84
  6. Step 6: Final answer
    x = 245,397.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.