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Finding the Fourth Proportional to 472,283.80, 708,425.70 and 413,234.80

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Solution

The fourth proportional to 472,283.80, 708,425.70 and 413,234.80 is: 619,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,283.80 : 708,425.70 = 413,234.80 : x
  2. Step 2: Convert to fraction form
    472,283.80/708,425.70 = 413,234.80/x
  3. Step 3: Cross multiply
    472,283.80x = 708,425.70 × 413,234.80
  4. Step 4: Simplify right side
    472,283.80x = 292,746,152,454.36
  5. Step 5: Solve for x
    x = 292,746,152,454.36/472,283.80
  6. Step 6: Final answer
    x = 619,852.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.