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Finding the Fourth Proportional to 472,281.80, 708,422.70 and 413,232.80

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Solution

The fourth proportional to 472,281.80, 708,422.70 and 413,232.80 is: 619,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,281.80 : 708,422.70 = 413,232.80 : x
  2. Step 2: Convert to fraction form
    472,281.80/708,422.70 = 413,232.80/x
  3. Step 3: Cross multiply
    472,281.80x = 708,422.70 × 413,232.80
  4. Step 4: Simplify right side
    472,281.80x = 292,743,495,904.56
  5. Step 5: Solve for x
    x = 292,743,495,904.56/472,281.80
  6. Step 6: Final answer
    x = 619,849.20

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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.