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Finding the Fourth Proportional to 518,705.86, 777,404.31 and 278,223.34

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Solution

The fourth proportional to 518,705.86, 777,404.31 and 278,223.34 is: 416,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,705.86 : 777,404.31 = 278,223.34 : x
  2. Step 2: Convert to fraction form
    518,705.86/777,404.31 = 278,223.34/x
  3. Step 3: Cross multiply
    518,705.86x = 777,404.31 × 278,223.34
  4. Step 4: Simplify right side
    518,705.86x = 216,292,023,658.60
  5. Step 5: Solve for x
    x = 216,292,023,658.60/518,705.86
  6. Step 6: Final answer
    x = 416,983.96

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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.