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Finding the Fourth Proportional to 284,518.53, 426,686.67 and 158,219.28

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Solution

The fourth proportional to 284,518.53, 426,686.67 and 158,219.28 is: 237,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,518.53 : 426,686.67 = 158,219.28 : x
  2. Step 2: Convert to fraction form
    284,518.53/426,686.67 = 158,219.28/x
  3. Step 3: Cross multiply
    284,518.53x = 426,686.67 × 158,219.28
  4. Step 4: Simplify right side
    284,518.53x = 67,510,057,713.00
  5. Step 5: Solve for x
    x = 67,510,057,713.00/284,518.53
  6. Step 6: Final answer
    x = 237,278.25

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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.