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Finding the Fourth Proportional to 402,303.58, 603,407.50 and 132,364.78

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Solution

The fourth proportional to 402,303.58, 603,407.50 and 132,364.78 is: 198,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,303.58 : 603,407.50 = 132,364.78 : x
  2. Step 2: Convert to fraction form
    402,303.58/603,407.50 = 132,364.78/x
  3. Step 3: Cross multiply
    402,303.58x = 603,407.50 × 132,364.78
  4. Step 4: Simplify right side
    402,303.58x = 79,869,900,987.85
  5. Step 5: Solve for x
    x = 79,869,900,987.85/402,303.58
  6. Step 6: Final answer
    x = 198,531.42

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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.