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Finding the Fourth Proportional to 432,169, 596,432.90 and 238,611.30

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Solution

The fourth proportional to 432,169, 596,432.90 and 238,611.30 is: 329,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,169 : 596,432.90 = 238,611.30 : x
  2. Step 2: Convert to fraction form
    432,169/596,432.90 = 238,611.30/x
  3. Step 3: Cross multiply
    432,169x = 596,432.90 × 238,611.30
  4. Step 4: Simplify right side
    432,169x = 142,315,629,631.77
  5. Step 5: Solve for x
    x = 142,315,629,631.77/432,169
  6. Step 6: Final answer
    x = 329,305.50

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Similar ratio
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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.