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Finding the Fourth Proportional to 529,820.86, 733,078.14 and 461,979.20

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Solution

The fourth proportional to 529,820.86, 733,078.14 and 461,979.20 is: 639,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,820.86 : 733,078.14 = 461,979.20 : x
  2. Step 2: Convert to fraction form
    529,820.86/733,078.14 = 461,979.20/x
  3. Step 3: Cross multiply
    529,820.86x = 733,078.14 × 461,979.20
  4. Step 4: Simplify right side
    529,820.86x = 338,666,852,654.69
  5. Step 5: Solve for x
    x = 338,666,852,654.69/529,820.86
  6. Step 6: Final answer
    x = 639,210.11

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