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Finding the Fourth Proportional to 417,854.80, 626,782.20 and 102,314.80

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Solution

The fourth proportional to 417,854.80, 626,782.20 and 102,314.80 is: 153,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,854.80 : 626,782.20 = 102,314.80 : x
  2. Step 2: Convert to fraction form
    417,854.80/626,782.20 = 102,314.80/x
  3. Step 3: Cross multiply
    417,854.80x = 626,782.20 × 102,314.80
  4. Step 4: Simplify right side
    417,854.80x = 64,129,095,436.56
  5. Step 5: Solve for x
    x = 64,129,095,436.56/417,854.80
  6. Step 6: Final answer
    x = 153,472.20

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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.