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Finding the Fourth Proportional to 397,778.29, 596,193.17 and 277,182.31

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Solution

The fourth proportional to 397,778.29, 596,193.17 and 277,182.31 is: 415,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,778.29 : 596,193.17 = 277,182.31 : x
  2. Step 2: Convert to fraction form
    397,778.29/596,193.17 = 277,182.31/x
  3. Step 3: Cross multiply
    397,778.29x = 596,193.17 × 277,182.31
  4. Step 4: Simplify right side
    397,778.29x = 165,254,200,066.82
  5. Step 5: Solve for x
    x = 165,254,200,066.82/397,778.29
  6. Step 6: Final answer
    x = 415,442.98

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1.5x scale

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.