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Finding the Fourth Proportional to 472,980.06, 709,027.02 and 157,363.56

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Solution

The fourth proportional to 472,980.06, 709,027.02 and 157,363.56 is: 235,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,980.06 : 709,027.02 = 157,363.56 : x
  2. Step 2: Convert to fraction form
    472,980.06/709,027.02 = 157,363.56/x
  3. Step 3: Cross multiply
    472,980.06x = 709,027.02 × 157,363.56
  4. Step 4: Simplify right side
    472,980.06x = 111,575,016,003.39
  5. Step 5: Solve for x
    x = 111,575,016,003.39/472,980.06
  6. Step 6: Final answer
    x = 235,897.93

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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.