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Finding the Fourth Proportional to 409,999.60, 565,572 and 240,200.92

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Solution

The fourth proportional to 409,999.60, 565,572 and 240,200.92 is: 331,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,999.60 : 565,572 = 240,200.92 : x
  2. Step 2: Convert to fraction form
    409,999.60/565,572 = 240,200.92/x
  3. Step 3: Cross multiply
    409,999.60x = 565,572 × 240,200.92
  4. Step 4: Simplify right side
    409,999.60x = 135,850,914,726.24
  5. Step 5: Solve for x
    x = 135,850,914,726.24/409,999.60
  6. Step 6: Final answer
    x = 331,344.02

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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.