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Finding the Fourth Proportional to 564,130.13, 845,752.14 and 386,097.39

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Solution

The fourth proportional to 564,130.13, 845,752.14 and 386,097.39 is: 578,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,130.13 : 845,752.14 = 386,097.39 : x
  2. Step 2: Convert to fraction form
    564,130.13/845,752.14 = 386,097.39/x
  3. Step 3: Cross multiply
    564,130.13x = 845,752.14 × 386,097.39
  4. Step 4: Simplify right side
    564,130.13x = 326,542,696,920.54
  5. Step 5: Solve for x
    x = 326,542,696,920.54/564,130.13
  6. Step 6: Final answer
    x = 578,842.86

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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.