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Finding the Fourth Proportional to 468,219.60, 646,145.33 and 264,279.15

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Solution

The fourth proportional to 468,219.60, 646,145.33 and 264,279.15 is: 364,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,219.60 : 646,145.33 = 264,279.15 : x
  2. Step 2: Convert to fraction form
    468,219.60/646,145.33 = 264,279.15/x
  3. Step 3: Cross multiply
    468,219.60x = 646,145.33 × 264,279.15
  4. Step 4: Simplify right side
    468,219.60x = 170,762,737,267.47
  5. Step 5: Solve for x
    x = 170,762,737,267.47/468,219.60
  6. Step 6: Final answer
    x = 364,706.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.