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Finding the Fourth Proportional to 410,469.17, 615,724.52 and 157,661.03

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Solution

The fourth proportional to 410,469.17, 615,724.52 and 157,661.03 is: 236,499.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,469.17 : 615,724.52 = 157,661.03 : x
  2. Step 2: Convert to fraction form
    410,469.17/615,724.52 = 157,661.03/x
  3. Step 3: Cross multiply
    410,469.17x = 615,724.52 × 157,661.03
  4. Step 4: Simplify right side
    410,469.17x = 97,075,762,770.46
  5. Step 5: Solve for x
    x = 97,075,762,770.46/410,469.17
  6. Step 6: Final answer
    x = 236,499.52

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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.