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Finding the Fourth Proportional to 684,872.01, 944,909.15 and 413,023.05

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Solution

The fourth proportional to 684,872.01, 944,909.15 and 413,023.05 is: 569,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,872.01 : 944,909.15 = 413,023.05 : x
  2. Step 2: Convert to fraction form
    684,872.01/944,909.15 = 413,023.05/x
  3. Step 3: Cross multiply
    684,872.01x = 944,909.15 × 413,023.05
  4. Step 4: Simplify right side
    684,872.01x = 390,269,257,040.79
  5. Step 5: Solve for x
    x = 390,269,257,040.79/684,872.01
  6. Step 6: Final answer
    x = 569,842.61

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Double scale
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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.