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Finding the Fourth Proportional to 686,158.54, 946,948.64 and 414,292.56

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Solution

The fourth proportional to 686,158.54, 946,948.64 and 414,292.56 is: 571,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,158.54 : 946,948.64 = 414,292.56 : x
  2. Step 2: Convert to fraction form
    686,158.54/946,948.64 = 414,292.56/x
  3. Step 3: Cross multiply
    686,158.54x = 946,948.64 × 414,292.56
  4. Step 4: Simplify right side
    686,158.54x = 392,313,776,254.12
  5. Step 5: Solve for x
    x = 392,313,776,254.12/686,158.54
  6. Step 6: Final answer
    x = 571,753.83

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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.