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Finding the Fourth Proportional to 843,008.64, 1,264,536 and 282,023.04

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Solution

The fourth proportional to 843,008.64, 1,264,536 and 282,023.04 is: 423,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,008.64 : 1,264,536 = 282,023.04 : x
  2. Step 2: Convert to fraction form
    843,008.64/1,264,536 = 282,023.04/x
  3. Step 3: Cross multiply
    843,008.64x = 1,264,536 × 282,023.04
  4. Step 4: Simplify right side
    843,008.64x = 356,628,286,909.44
  5. Step 5: Solve for x
    x = 356,628,286,909.44/843,008.64
  6. Step 6: Final answer
    x = 423,042.27

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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.