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Finding the Fourth Proportional to 398,053.20, 549,300.38 and 216,763.73

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Solution

The fourth proportional to 398,053.20, 549,300.38 and 216,763.73 is: 299,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,053.20 : 549,300.38 = 216,763.73 : x
  2. Step 2: Convert to fraction form
    398,053.20/549,300.38 = 216,763.73/x
  3. Step 3: Cross multiply
    398,053.20x = 549,300.38 × 216,763.73
  4. Step 4: Simplify right side
    398,053.20x = 119,068,395,428.90
  5. Step 5: Solve for x
    x = 119,068,395,428.90/398,053.20
  6. Step 6: Final answer
    x = 299,126.84

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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.