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Finding the Fourth Proportional to 407,335.74, 611,004.13 and 141,096.23

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Solution

The fourth proportional to 407,335.74, 611,004.13 and 141,096.23 is: 211,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,335.74 : 611,004.13 = 141,096.23 : x
  2. Step 2: Convert to fraction form
    407,335.74/611,004.13 = 141,096.23/x
  3. Step 3: Cross multiply
    407,335.74x = 611,004.13 × 141,096.23
  4. Step 4: Simplify right side
    407,335.74x = 86,210,378,904.69
  5. Step 5: Solve for x
    x = 86,210,378,904.69/407,335.74
  6. Step 6: Final answer
    x = 211,644.52

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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.