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Finding the Fourth Proportional to 585,399.46, 878,032.12 and 153,158.66

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Solution

The fourth proportional to 585,399.46, 878,032.12 and 153,158.66 is: 229,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,399.46 : 878,032.12 = 153,158.66 : x
  2. Step 2: Convert to fraction form
    585,399.46/878,032.12 = 153,158.66/x
  3. Step 3: Cross multiply
    585,399.46x = 878,032.12 × 153,158.66
  4. Step 4: Simplify right side
    585,399.46x = 134,478,222,936.16
  5. Step 5: Solve for x
    x = 134,478,222,936.16/585,399.46
  6. Step 6: Final answer
    x = 229,720.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.