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Finding the Fourth Proportional to 402,972.30, 604,458.45 and 284,874.30

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Solution

The fourth proportional to 402,972.30, 604,458.45 and 284,874.30 is: 427,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,972.30 : 604,458.45 = 284,874.30 : x
  2. Step 2: Convert to fraction form
    402,972.30/604,458.45 = 284,874.30/x
  3. Step 3: Cross multiply
    402,972.30x = 604,458.45 × 284,874.30
  4. Step 4: Simplify right side
    402,972.30x = 172,194,677,822.84
  5. Step 5: Solve for x
    x = 172,194,677,822.84/402,972.30
  6. Step 6: Final answer
    x = 427,311.45

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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.