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Finding the Fourth Proportional to 506,248.32, 760,553.40 and 296,034

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Solution

The fourth proportional to 506,248.32, 760,553.40 and 296,034 is: 444,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,248.32 : 760,553.40 = 296,034 : x
  2. Step 2: Convert to fraction form
    506,248.32/760,553.40 = 296,034/x
  3. Step 3: Cross multiply
    506,248.32x = 760,553.40 × 296,034
  4. Step 4: Simplify right side
    506,248.32x = 225,149,665,215.60
  5. Step 5: Solve for x
    x = 225,149,665,215.60/506,248.32
  6. Step 6: Final answer
    x = 444,741.56

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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.