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Finding the Fourth Proportional to 686,869.76, 947,758.10 and 414,755.39

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Solution

The fourth proportional to 686,869.76, 947,758.10 and 414,755.39 is: 572,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,869.76 : 947,758.10 = 414,755.39 : x
  2. Step 2: Convert to fraction form
    686,869.76/947,758.10 = 414,755.39/x
  3. Step 3: Cross multiply
    686,869.76x = 947,758.10 × 414,755.39
  4. Step 4: Simplify right side
    686,869.76x = 393,087,773,578.59
  5. Step 5: Solve for x
    x = 393,087,773,578.59/686,869.76
  6. Step 6: Final answer
    x = 572,288.66

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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.