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Finding the Fourth Proportional to 315,360.24, 472,708.14 and 157,256.54

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Solution

The fourth proportional to 315,360.24, 472,708.14 and 157,256.54 is: 235,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,360.24 : 472,708.14 = 157,256.54 : x
  2. Step 2: Convert to fraction form
    315,360.24/472,708.14 = 157,256.54/x
  3. Step 3: Cross multiply
    315,360.24x = 472,708.14 × 157,256.54
  4. Step 4: Simplify right side
    315,360.24x = 74,336,446,526.24
  5. Step 5: Solve for x
    x = 74,336,446,526.24/315,360.24
  6. Step 6: Final answer
    x = 235,719.15

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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.