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Finding the Fourth Proportional to 498,617.32, 747,509.64 and 232,240.72

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Solution

The fourth proportional to 498,617.32, 747,509.64 and 232,240.72 is: 348,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,617.32 : 747,509.64 = 232,240.72 : x
  2. Step 2: Convert to fraction form
    498,617.32/747,509.64 = 232,240.72/x
  3. Step 3: Cross multiply
    498,617.32x = 747,509.64 × 232,240.72
  4. Step 4: Simplify right side
    498,617.32x = 173,602,177,000.54
  5. Step 5: Solve for x
    x = 173,602,177,000.54/498,617.32
  6. Step 6: Final answer
    x = 348,167.16

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Why These Related Problems?

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