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Finding the Fourth Proportional to 472,251.80, 708,377.70 and 259,675.40

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Solution

The fourth proportional to 472,251.80, 708,377.70 and 259,675.40 is: 389,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,251.80 : 708,377.70 = 259,675.40 : x
  2. Step 2: Convert to fraction form
    472,251.80/708,377.70 = 259,675.40/x
  3. Step 3: Cross multiply
    472,251.80x = 708,377.70 × 259,675.40
  4. Step 4: Simplify right side
    472,251.80x = 183,948,262,598.58
  5. Step 5: Solve for x
    x = 183,948,262,598.58/472,251.80
  6. Step 6: Final answer
    x = 389,513.10

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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.