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Finding the Fourth Proportional to 432,215.70, 596,452.29 and 238,624.98

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Solution

The fourth proportional to 432,215.70, 596,452.29 and 238,624.98 is: 329,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,215.70 : 596,452.29 = 238,624.98 : x
  2. Step 2: Convert to fraction form
    432,215.70/596,452.29 = 238,624.98/x
  3. Step 3: Cross multiply
    432,215.70x = 596,452.29 × 238,624.98
  4. Step 4: Simplify right side
    432,215.70x = 142,328,415,772.20
  5. Step 5: Solve for x
    x = 142,328,415,772.20/432,215.70
  6. Step 6: Final answer
    x = 329,299.50

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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.