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Finding the Fourth Proportional to 438,416.20, 657,624.30 and 157,832.20

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Solution

The fourth proportional to 438,416.20, 657,624.30 and 157,832.20 is: 236,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,416.20 : 657,624.30 = 157,832.20 : x
  2. Step 2: Convert to fraction form
    438,416.20/657,624.30 = 157,832.20/x
  3. Step 3: Cross multiply
    438,416.20x = 657,624.30 × 157,832.20
  4. Step 4: Simplify right side
    438,416.20x = 103,794,290,042.46
  5. Step 5: Solve for x
    x = 103,794,290,042.46/438,416.20
  6. Step 6: Final answer
    x = 236,748.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.