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Finding the Fourth Proportional to 604,397.43, 906,284.14 and 177,877.91

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Solution

The fourth proportional to 604,397.43, 906,284.14 and 177,877.91 is: 266,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,397.43 : 906,284.14 = 177,877.91 : x
  2. Step 2: Convert to fraction form
    604,397.43/906,284.14 = 177,877.91/x
  3. Step 3: Cross multiply
    604,397.43x = 906,284.14 × 177,877.91
  4. Step 4: Simplify right side
    604,397.43x = 161,207,928,689.35
  5. Step 5: Solve for x
    x = 161,207,928,689.35/604,397.43
  6. Step 6: Final answer
    x = 266,725.04

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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.