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Finding the Fourth Proportional to 410,073.64, 615,317.92 and 276,673.52

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Solution

The fourth proportional to 410,073.64, 615,317.92 and 276,673.52 is: 415,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,073.64 : 615,317.92 = 276,673.52 : x
  2. Step 2: Convert to fraction form
    410,073.64/615,317.92 = 276,673.52/x
  3. Step 3: Cross multiply
    410,073.64x = 615,317.92 × 276,673.52
  4. Step 4: Simplify right side
    410,073.64x = 170,242,175,692.09
  5. Step 5: Solve for x
    x = 170,242,175,692.09/410,073.64
  6. Step 6: Final answer
    x = 415,150.26

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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.