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Finding the Fourth Proportional to 409,975.57, 615,153.17 and 157,171.51

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Solution

The fourth proportional to 409,975.57, 615,153.17 and 157,171.51 is: 235,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,975.57 : 615,153.17 = 157,171.51 : x
  2. Step 2: Convert to fraction form
    409,975.57/615,153.17 = 157,171.51/x
  3. Step 3: Cross multiply
    409,975.57x = 615,153.17 × 157,171.51
  4. Step 4: Simplify right side
    409,975.57x = 96,684,552,610.19
  5. Step 5: Solve for x
    x = 96,684,552,610.19/409,975.57
  6. Step 6: Final answer
    x = 235,830.03

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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.