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Finding the Fourth Proportional to 284,920.40, 427,687.80 and 160,504.40

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Solution

The fourth proportional to 284,920.40, 427,687.80 and 160,504.40 is: 240,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,920.40 : 427,687.80 = 160,504.40 : x
  2. Step 2: Convert to fraction form
    284,920.40/427,687.80 = 160,504.40/x
  3. Step 3: Cross multiply
    284,920.40x = 427,687.80 × 160,504.40
  4. Step 4: Simplify right side
    284,920.40x = 68,645,773,726.32
  5. Step 5: Solve for x
    x = 68,645,773,726.32/284,920.40
  6. Step 6: Final answer
    x = 240,929.66

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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.