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Finding the Fourth Proportional to 473,971.30, 654,088.17 and 283,001.38

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Solution

The fourth proportional to 473,971.30, 654,088.17 and 283,001.38 is: 390,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,971.30 : 654,088.17 = 283,001.38 : x
  2. Step 2: Convert to fraction form
    473,971.30/654,088.17 = 283,001.38/x
  3. Step 3: Cross multiply
    473,971.30x = 654,088.17 × 283,001.38
  4. Step 4: Simplify right side
    473,971.30x = 185,107,854,751.68
  5. Step 5: Solve for x
    x = 185,107,854,751.68/473,971.30
  6. Step 6: Final answer
    x = 390,546.55

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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.