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Finding the Fourth Proportional to 466,209.60, 699,314.40 and 199,924.80

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Solution

The fourth proportional to 466,209.60, 699,314.40 and 199,924.80 is: 299,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,209.60 : 699,314.40 = 199,924.80 : x
  2. Step 2: Convert to fraction form
    466,209.60/699,314.40 = 199,924.80/x
  3. Step 3: Cross multiply
    466,209.60x = 699,314.40 × 199,924.80
  4. Step 4: Simplify right side
    466,209.60x = 139,810,291,557.12
  5. Step 5: Solve for x
    x = 139,810,291,557.12/466,209.60
  6. Step 6: Final answer
    x = 299,887.20

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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.