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Finding the Fourth Proportional to 284,034.40, 426,051.60 and 159,359.20

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Solution

The fourth proportional to 284,034.40, 426,051.60 and 159,359.20 is: 239,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,034.40 : 426,051.60 = 159,359.20 : x
  2. Step 2: Convert to fraction form
    284,034.40/426,051.60 = 159,359.20/x
  3. Step 3: Cross multiply
    284,034.40x = 426,051.60 × 159,359.20
  4. Step 4: Simplify right side
    284,034.40x = 67,895,242,134.72
  5. Step 5: Solve for x
    x = 67,895,242,134.72/284,034.40
  6. Step 6: Final answer
    x = 239,038.80

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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.