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Finding the Fourth Proportional to 832,807.48, 1,149,273 and 450,834.16

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Solution

The fourth proportional to 832,807.48, 1,149,273 and 450,834.16 is: 622,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,807.48 : 1,149,273 = 450,834.16 : x
  2. Step 2: Convert to fraction form
    832,807.48/1,149,273 = 450,834.16/x
  3. Step 3: Cross multiply
    832,807.48x = 1,149,273 × 450,834.16
  4. Step 4: Simplify right side
    832,807.48x = 518,131,527,565.68
  5. Step 5: Solve for x
    x = 518,131,527,565.68/832,807.48
  6. Step 6: Final answer
    x = 622,150.42

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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.