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Finding the Fourth Proportional to 402,397.60, 603,377.70 and 165,764.20

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Solution

The fourth proportional to 402,397.60, 603,377.70 and 165,764.20 is: 248,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,397.60 : 603,377.70 = 165,764.20 : x
  2. Step 2: Convert to fraction form
    402,397.60/603,377.70 = 165,764.20/x
  3. Step 3: Cross multiply
    402,397.60x = 603,377.70 × 165,764.20
  4. Step 4: Simplify right side
    402,397.60x = 100,018,421,738.34
  5. Step 5: Solve for x
    x = 100,018,421,738.34/402,397.60
  6. Step 6: Final answer
    x = 248,556.21

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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.