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Finding the Fourth Proportional to 410,466.40, 615,699.60 and 363,464.80

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Solution

The fourth proportional to 410,466.40, 615,699.60 and 363,464.80 is: 545,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,466.40 : 615,699.60 = 363,464.80 : x
  2. Step 2: Convert to fraction form
    410,466.40/615,699.60 = 363,464.80/x
  3. Step 3: Cross multiply
    410,466.40x = 615,699.60 × 363,464.80
  4. Step 4: Simplify right side
    410,466.40x = 223,785,131,974.08
  5. Step 5: Solve for x
    x = 223,785,131,974.08/410,466.40
  6. Step 6: Final answer
    x = 545,197.20

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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.