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Finding the Fourth Proportional to 472,410.48, 705,484.26 and 415,179.12

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Solution

The fourth proportional to 472,410.48, 705,484.26 and 415,179.12 is: 620,016.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,410.48 : 705,484.26 = 415,179.12 : x
  2. Step 2: Convert to fraction form
    472,410.48/705,484.26 = 415,179.12/x
  3. Step 3: Cross multiply
    472,410.48x = 705,484.26 × 415,179.12
  4. Step 4: Simplify right side
    472,410.48x = 292,902,334,240.65
  5. Step 5: Solve for x
    x = 292,902,334,240.65/472,410.48
  6. Step 6: Final answer
    x = 620,016.59

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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.