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Finding the Fourth Proportional to 438,446.80, 657,305.70 and 185,921.20

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Solution

The fourth proportional to 438,446.80, 657,305.70 and 185,921.20 is: 278,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,446.80 : 657,305.70 = 185,921.20 : x
  2. Step 2: Convert to fraction form
    438,446.80/657,305.70 = 185,921.20/x
  3. Step 3: Cross multiply
    438,446.80x = 657,305.70 × 185,921.20
  4. Step 4: Simplify right side
    438,446.80x = 122,207,064,510.84
  5. Step 5: Solve for x
    x = 122,207,064,510.84/438,446.80
  6. Step 6: Final answer
    x = 278,727.24

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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.