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Finding the Fourth Proportional to 432,169.53, 596,378.31 and 238,573.08

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Solution

The fourth proportional to 432,169.53, 596,378.31 and 238,573.08 is: 329,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,169.53 : 596,378.31 = 238,573.08 : x
  2. Step 2: Convert to fraction form
    432,169.53/596,378.31 = 238,573.08/x
  3. Step 3: Cross multiply
    432,169.53x = 596,378.31 × 238,573.08
  4. Step 4: Simplify right side
    432,169.53x = 142,279,810,261.90
  5. Step 5: Solve for x
    x = 142,279,810,261.90/432,169.53
  6. Step 6: Final answer
    x = 329,222.22

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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.