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Finding the Fourth Proportional to 410,829.90, 615,078.45 and 410,829.90

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Solution

The fourth proportional to 410,829.90, 615,078.45 and 410,829.90 is: 615,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,829.90 : 615,078.45 = 410,829.90 : x
  2. Step 2: Convert to fraction form
    410,829.90/615,078.45 = 410,829.90/x
  3. Step 3: Cross multiply
    410,829.90x = 615,078.45 × 410,829.90
  4. Step 4: Simplify right side
    410,829.90x = 252,692,618,105.66
  5. Step 5: Solve for x
    x = 252,692,618,105.66/410,829.90
  6. Step 6: Final answer
    x = 615,078.45

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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.