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Finding the Fourth Proportional to 587,536.80, 881,305.20 and 421,648.80

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Solution

The fourth proportional to 587,536.80, 881,305.20 and 421,648.80 is: 632,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,536.80 : 881,305.20 = 421,648.80 : x
  2. Step 2: Convert to fraction form
    587,536.80/881,305.20 = 421,648.80/x
  3. Step 3: Cross multiply
    587,536.80x = 881,305.20 × 421,648.80
  4. Step 4: Simplify right side
    587,536.80x = 371,601,280,013.76
  5. Step 5: Solve for x
    x = 371,601,280,013.76/587,536.80
  6. Step 6: Final answer
    x = 632,473.20

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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.