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Finding the Fourth Proportional to 830,363.91, 1,145,665.13 and 467,660.90

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Solution

The fourth proportional to 830,363.91, 1,145,665.13 and 467,660.90 is: 645,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,363.91 : 1,145,665.13 = 467,660.90 : x
  2. Step 2: Convert to fraction form
    830,363.91/1,145,665.13 = 467,660.90/x
  3. Step 3: Cross multiply
    830,363.91x = 1,145,665.13 × 467,660.90
  4. Step 4: Simplify right side
    830,363.91x = 535,782,777,727.79
  5. Step 5: Solve for x
    x = 535,782,777,727.79/830,363.91
  6. Step 6: Final answer
    x = 645,238.52

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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.