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Finding the Fourth Proportional to 314,945.52, 472,168.80 and 157,092.72

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Solution

The fourth proportional to 314,945.52, 472,168.80 and 157,092.72 is: 235,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,945.52 : 472,168.80 = 157,092.72 : x
  2. Step 2: Convert to fraction form
    314,945.52/472,168.80 = 157,092.72/x
  3. Step 3: Cross multiply
    314,945.52x = 472,168.80 × 157,092.72
  4. Step 4: Simplify right side
    314,945.52x = 74,174,281,091.14
  5. Step 5: Solve for x
    x = 74,174,281,091.14/314,945.52
  6. Step 6: Final answer
    x = 235,514.64

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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.