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Finding the Fourth Proportional to 684,998.20, 945,677.55 and 413,134.66

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Solution

The fourth proportional to 684,998.20, 945,677.55 and 413,134.66 is: 570,355.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,998.20 : 945,677.55 = 413,134.66 : x
  2. Step 2: Convert to fraction form
    684,998.20/945,677.55 = 413,134.66/x
  3. Step 3: Cross multiply
    684,998.20x = 945,677.55 × 413,134.66
  4. Step 4: Simplify right side
    684,998.20x = 390,692,173,088.88
  5. Step 5: Solve for x
    x = 390,692,173,088.88/684,998.20
  6. Step 6: Final answer
    x = 570,355.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.