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Finding the Fourth Proportional to 495,708.32, 743,560.95 and 140,722.58

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Solution

The fourth proportional to 495,708.32, 743,560.95 and 140,722.58 is: 211,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,708.32 : 743,560.95 = 140,722.58 : x
  2. Step 2: Convert to fraction form
    495,708.32/743,560.95 = 140,722.58/x
  3. Step 3: Cross multiply
    495,708.32x = 743,560.95 × 140,722.58
  4. Step 4: Simplify right side
    495,708.32x = 104,635,815,271.25
  5. Step 5: Solve for x
    x = 104,635,815,271.25/495,708.32
  6. Step 6: Final answer
    x = 211,083.44

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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.