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Finding the Fourth Proportional to 546,509.12, 753,983.82 and 316,939.73

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Solution

The fourth proportional to 546,509.12, 753,983.82 and 316,939.73 is: 437,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,509.12 : 753,983.82 = 316,939.73 : x
  2. Step 2: Convert to fraction form
    546,509.12/753,983.82 = 316,939.73/x
  3. Step 3: Cross multiply
    546,509.12x = 753,983.82 × 316,939.73
  4. Step 4: Simplify right side
    546,509.12x = 238,967,428,335.17
  5. Step 5: Solve for x
    x = 238,967,428,335.17/546,509.12
  6. Step 6: Final answer
    x = 437,261.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.