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Finding the Fourth Proportional to 512,832.47, 707,473.58 and 297,932.31

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Solution

The fourth proportional to 512,832.47, 707,473.58 and 297,932.31 is: 411,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,832.47 : 707,473.58 = 297,932.31 : x
  2. Step 2: Convert to fraction form
    512,832.47/707,473.58 = 297,932.31/x
  3. Step 3: Cross multiply
    512,832.47x = 707,473.58 × 297,932.31
  4. Step 4: Simplify right side
    512,832.47x = 210,779,236,463.71
  5. Step 5: Solve for x
    x = 210,779,236,463.71/512,832.47
  6. Step 6: Final answer
    x = 411,009.93

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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.