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Finding the Fourth Proportional to 432,112.87, 596,315.79 and 238,520.63

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Solution

The fourth proportional to 432,112.87, 596,315.79 and 238,520.63 is: 329,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,112.87 : 596,315.79 = 238,520.63 : x
  2. Step 2: Convert to fraction form
    432,112.87/596,315.79 = 238,520.63/x
  3. Step 3: Cross multiply
    432,112.87x = 596,315.79 × 238,520.63
  4. Step 4: Simplify right side
    432,112.87x = 142,233,614,928.17
  5. Step 5: Solve for x
    x = 142,233,614,928.17/432,112.87
  6. Step 6: Final answer
    x = 329,158.48

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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.