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Finding the Fourth Proportional to 825,562.64, 1,139,326.14 and 463,007.93

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Solution

The fourth proportional to 825,562.64, 1,139,326.14 and 463,007.93 is: 638,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,562.64 : 1,139,326.14 = 463,007.93 : x
  2. Step 2: Convert to fraction form
    825,562.64/1,139,326.14 = 463,007.93/x
  3. Step 3: Cross multiply
    825,562.64x = 1,139,326.14 × 463,007.93
  4. Step 4: Simplify right side
    825,562.64x = 527,517,039,473.52
  5. Step 5: Solve for x
    x = 527,517,039,473.52/825,562.64
  6. Step 6: Final answer
    x = 638,978.82

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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.