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Finding the Fourth Proportional to 377,104.80, 565,657.20 and 209,143.20

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Solution

The fourth proportional to 377,104.80, 565,657.20 and 209,143.20 is: 313,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,104.80 : 565,657.20 = 209,143.20 : x
  2. Step 2: Convert to fraction form
    377,104.80/565,657.20 = 209,143.20/x
  3. Step 3: Cross multiply
    377,104.80x = 565,657.20 × 209,143.20
  4. Step 4: Simplify right side
    377,104.80x = 118,303,356,911.04
  5. Step 5: Solve for x
    x = 118,303,356,911.04/377,104.80
  6. Step 6: Final answer
    x = 313,714.80

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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.