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Finding the Fourth Proportional to 495,843.40, 744,542.70 and 285,891.40

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Solution

The fourth proportional to 495,843.40, 744,542.70 and 285,891.40 is: 429,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,843.40 : 744,542.70 = 285,891.40 : x
  2. Step 2: Convert to fraction form
    495,843.40/744,542.70 = 285,891.40/x
  3. Step 3: Cross multiply
    495,843.40x = 744,542.70 × 285,891.40
  4. Step 4: Simplify right side
    495,843.40x = 212,858,354,862.78
  5. Step 5: Solve for x
    x = 212,858,354,862.78/495,843.40
  6. Step 6: Final answer
    x = 429,285.45

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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.