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Finding the Fourth Proportional to 432,098.17, 596,295.52 and 238,505.94

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Solution

The fourth proportional to 432,098.17, 596,295.52 and 238,505.94 is: 329,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,098.17 : 596,295.52 = 238,505.94 : x
  2. Step 2: Convert to fraction form
    432,098.17/596,295.52 = 238,505.94/x
  3. Step 3: Cross multiply
    432,098.17x = 596,295.52 × 238,505.94
  4. Step 4: Simplify right side
    432,098.17x = 142,220,023,515.39
  5. Step 5: Solve for x
    x = 142,220,023,515.39/432,098.17
  6. Step 6: Final answer
    x = 329,138.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.