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Finding the Fourth Proportional to 402,894.20, 604,535.70 and 284,310.20

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Solution

The fourth proportional to 402,894.20, 604,535.70 and 284,310.20 is: 426,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,894.20 : 604,535.70 = 284,310.20 : x
  2. Step 2: Convert to fraction form
    402,894.20/604,535.70 = 284,310.20/x
  3. Step 3: Cross multiply
    402,894.20x = 604,535.70 × 284,310.20
  4. Step 4: Simplify right side
    402,894.20x = 171,875,665,774.14
  5. Step 5: Solve for x
    x = 171,875,665,774.14/402,894.20
  6. Step 6: Final answer
    x = 426,602.48

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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.