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Finding the Fourth Proportional to 472,326.48, 705,358.98 and 415,095.12

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Solution

The fourth proportional to 472,326.48, 705,358.98 and 415,095.12 is: 619,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,326.48 : 705,358.98 = 415,095.12 : x
  2. Step 2: Convert to fraction form
    472,326.48/705,358.98 = 415,095.12/x
  3. Step 3: Cross multiply
    472,326.48x = 705,358.98 × 415,095.12
  4. Step 4: Simplify right side
    472,326.48x = 292,791,070,446.18
  5. Step 5: Solve for x
    x = 292,791,070,446.18/472,326.48
  6. Step 6: Final answer
    x = 619,891.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.