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Finding the Fourth Proportional to 466,722.48, 700,079.13 and 213,931.20

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Solution

The fourth proportional to 466,722.48, 700,079.13 and 213,931.20 is: 320,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,722.48 : 700,079.13 = 213,931.20 : x
  2. Step 2: Convert to fraction form
    466,722.48/700,079.13 = 213,931.20/x
  3. Step 3: Cross multiply
    466,722.48x = 700,079.13 × 213,931.20
  4. Step 4: Simplify right side
    466,722.48x = 149,768,768,375.86
  5. Step 5: Solve for x
    x = 149,768,768,375.86/466,722.48
  6. Step 6: Final answer
    x = 320,894.70

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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.