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Finding the Fourth Proportional to 410,052.90, 615,079.35 and 114,564.90

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Solution

The fourth proportional to 410,052.90, 615,079.35 and 114,564.90 is: 171,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,052.90 : 615,079.35 = 114,564.90 : x
  2. Step 2: Convert to fraction form
    410,052.90/615,079.35 = 114,564.90/x
  3. Step 3: Cross multiply
    410,052.90x = 615,079.35 × 114,564.90
  4. Step 4: Simplify right side
    410,052.90x = 70,466,504,224.82
  5. Step 5: Solve for x
    x = 70,466,504,224.82/410,052.90
  6. Step 6: Final answer
    x = 171,847.35

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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.