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Finding the Fourth Proportional to 564,412.59, 846,610.29 and 391,144.47

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Solution

The fourth proportional to 564,412.59, 846,610.29 and 391,144.47 is: 586,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,412.59 : 846,610.29 = 391,144.47 : x
  2. Step 2: Convert to fraction form
    564,412.59/846,610.29 = 391,144.47/x
  3. Step 3: Cross multiply
    564,412.59x = 846,610.29 × 391,144.47
  4. Step 4: Simplify right side
    564,412.59x = 331,146,931,222.87
  5. Step 5: Solve for x
    x = 331,146,931,222.87/564,412.59
  6. Step 6: Final answer
    x = 586,710.75

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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.