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Finding the Fourth Proportional to 315,358.24, 472,705.15 and 157,254.54

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Solution

The fourth proportional to 315,358.24, 472,705.15 and 157,254.54 is: 235,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,358.24 : 472,705.15 = 157,254.54 : x
  2. Step 2: Convert to fraction form
    315,358.24/472,705.15 = 157,254.54/x
  3. Step 3: Cross multiply
    315,358.24x = 472,705.15 × 157,254.54
  4. Step 4: Simplify right side
    315,358.24x = 74,335,030,918.88
  5. Step 5: Solve for x
    x = 74,335,030,918.88/315,358.24
  6. Step 6: Final answer
    x = 235,716.15

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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.