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Finding the Fourth Proportional to 314,714.55, 472,211.35 and 164,919.23

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Solution

The fourth proportional to 314,714.55, 472,211.35 and 164,919.23 is: 247,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,714.55 : 472,211.35 = 164,919.23 : x
  2. Step 2: Convert to fraction form
    314,714.55/472,211.35 = 164,919.23/x
  3. Step 3: Cross multiply
    314,714.55x = 472,211.35 × 164,919.23
  4. Step 4: Simplify right side
    314,714.55x = 77,876,729,465.91
  5. Step 5: Solve for x
    x = 77,876,729,465.91/314,714.55
  6. Step 6: Final answer
    x = 247,451.95

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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.