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Finding the Fourth Proportional to 402,819.20, 604,423.20 and 284,235.20

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Solution

The fourth proportional to 402,819.20, 604,423.20 and 284,235.20 is: 426,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,819.20 : 604,423.20 = 284,235.20 : x
  2. Step 2: Convert to fraction form
    402,819.20/604,423.20 = 284,235.20/x
  3. Step 3: Cross multiply
    402,819.20x = 604,423.20 × 284,235.20
  4. Step 4: Simplify right side
    402,819.20x = 171,798,349,136.64
  5. Step 5: Solve for x
    x = 171,798,349,136.64/402,819.20
  6. Step 6: Final answer
    x = 426,489.97

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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.