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Finding the Fourth Proportional to 432,164.87, 596,420.57 and 238,609.90

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Solution

The fourth proportional to 432,164.87, 596,420.57 and 238,609.90 is: 329,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,164.87 : 596,420.57 = 238,609.90 : x
  2. Step 2: Convert to fraction form
    432,164.87/596,420.57 = 238,609.90/x
  3. Step 3: Cross multiply
    432,164.87x = 596,420.57 × 238,609.90
  4. Step 4: Simplify right side
    432,164.87x = 142,311,852,565.51
  5. Step 5: Solve for x
    x = 142,311,852,565.51/432,164.87
  6. Step 6: Final answer
    x = 329,299.91

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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.