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Finding the Fourth Proportional to 329,842.32, 495,444.96 and 315,467.52

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Solution

The fourth proportional to 329,842.32, 495,444.96 and 315,467.52 is: 473,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,842.32 : 495,444.96 = 315,467.52 : x
  2. Step 2: Convert to fraction form
    329,842.32/495,444.96 = 315,467.52/x
  3. Step 3: Cross multiply
    329,842.32x = 495,444.96 × 315,467.52
  4. Step 4: Simplify right side
    329,842.32x = 156,296,792,827.70
  5. Step 5: Solve for x
    x = 156,296,792,827.70/329,842.32
  6. Step 6: Final answer
    x = 473,853.06

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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.