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Finding the Fourth Proportional to 313,253.80, 469,880.70 and 180,543.40

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Solution

The fourth proportional to 313,253.80, 469,880.70 and 180,543.40 is: 270,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,253.80 : 469,880.70 = 180,543.40 : x
  2. Step 2: Convert to fraction form
    313,253.80/469,880.70 = 180,543.40/x
  3. Step 3: Cross multiply
    313,253.80x = 469,880.70 × 180,543.40
  4. Step 4: Simplify right side
    313,253.80x = 84,833,859,172.38
  5. Step 5: Solve for x
    x = 84,833,859,172.38/313,253.80
  6. Step 6: Final answer
    x = 270,815.10

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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.