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Finding the Fourth Proportional to 431,472.52, 646,700.44 and 194,537.80

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Solution

The fourth proportional to 431,472.52, 646,700.44 and 194,537.80 is: 291,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,472.52 : 646,700.44 = 194,537.80 : x
  2. Step 2: Convert to fraction form
    431,472.52/646,700.44 = 194,537.80/x
  3. Step 3: Cross multiply
    431,472.52x = 646,700.44 × 194,537.80
  4. Step 4: Simplify right side
    431,472.52x = 125,807,680,856.63
  5. Step 5: Solve for x
    x = 125,807,680,856.63/431,472.52
  6. Step 6: Final answer
    x = 291,577.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.