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Finding the Fourth Proportional to 498,615.32, 747,506.64 and 232,238.72

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Solution

The fourth proportional to 498,615.32, 747,506.64 and 232,238.72 is: 348,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,615.32 : 747,506.64 = 232,238.72 : x
  2. Step 2: Convert to fraction form
    498,615.32/747,506.64 = 232,238.72/x
  3. Step 3: Cross multiply
    498,615.32x = 747,506.64 × 232,238.72
  4. Step 4: Simplify right side
    498,615.32x = 173,599,985,265.10
  5. Step 5: Solve for x
    x = 173,599,985,265.10/498,615.32
  6. Step 6: Final answer
    x = 348,164.16

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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.