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Finding the Fourth Proportional to 566,901.24, 782,314.32 and 312,276.12

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Solution

The fourth proportional to 566,901.24, 782,314.32 and 312,276.12 is: 430,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,901.24 : 782,314.32 = 312,276.12 : x
  2. Step 2: Convert to fraction form
    566,901.24/782,314.32 = 312,276.12/x
  3. Step 3: Cross multiply
    566,901.24x = 782,314.32 × 312,276.12
  4. Step 4: Simplify right side
    566,901.24x = 244,298,080,470.04
  5. Step 5: Solve for x
    x = 244,298,080,470.04/566,901.24
  6. Step 6: Final answer
    x = 430,935.87

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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.