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Finding the Fourth Proportional to 284,311.20, 426,466.80 and 144,343.20

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Solution

The fourth proportional to 284,311.20, 426,466.80 and 144,343.20 is: 216,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,311.20 : 426,466.80 = 144,343.20 : x
  2. Step 2: Convert to fraction form
    284,311.20/426,466.80 = 144,343.20/x
  3. Step 3: Cross multiply
    284,311.20x = 426,466.80 × 144,343.20
  4. Step 4: Simplify right side
    284,311.20x = 61,557,582,605.76
  5. Step 5: Solve for x
    x = 61,557,582,605.76/284,311.20
  6. Step 6: Final answer
    x = 216,514.80

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1.5x scale

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.