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Finding the Fourth Proportional to 614,102.38, 847,812.96 and 410,498.15

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Solution

The fourth proportional to 614,102.38, 847,812.96 and 410,498.15 is: 566,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,102.38 : 847,812.96 = 410,498.15 : x
  2. Step 2: Convert to fraction form
    614,102.38/847,812.96 = 410,498.15/x
  3. Step 3: Cross multiply
    614,102.38x = 847,812.96 × 410,498.15
  4. Step 4: Simplify right side
    614,102.38x = 348,025,647,386.96
  5. Step 5: Solve for x
    x = 348,025,647,386.96/614,102.38
  6. Step 6: Final answer
    x = 566,722.52

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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.