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Finding the Fourth Proportional to 477,965.88, 717,065.46 and 145,541.88

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Solution

The fourth proportional to 477,965.88, 717,065.46 and 145,541.88 is: 218,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,965.88 : 717,065.46 = 145,541.88 : x
  2. Step 2: Convert to fraction form
    477,965.88/717,065.46 = 145,541.88/x
  3. Step 3: Cross multiply
    477,965.88x = 717,065.46 × 145,541.88
  4. Step 4: Simplify right side
    477,965.88x = 104,363,055,131.47
  5. Step 5: Solve for x
    x = 104,363,055,131.47/477,965.88
  6. Step 6: Final answer
    x = 218,348.34

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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.