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Finding the Fourth Proportional to 834,314.78, 1,151,378.68 and 471,730.86

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Solution

The fourth proportional to 834,314.78, 1,151,378.68 and 471,730.86 is: 651,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,314.78 : 1,151,378.68 = 471,730.86 : x
  2. Step 2: Convert to fraction form
    834,314.78/1,151,378.68 = 471,730.86/x
  3. Step 3: Cross multiply
    834,314.78x = 1,151,378.68 × 471,730.86
  4. Step 4: Simplify right side
    834,314.78x = 543,140,854,902.07
  5. Step 5: Solve for x
    x = 543,140,854,902.07/834,314.78
  6. Step 6: Final answer
    x = 651,002.32

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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.