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Finding the Fourth Proportional to 472,713.94, 709,077.06 and 157,170.84

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Solution

The fourth proportional to 472,713.94, 709,077.06 and 157,170.84 is: 235,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,713.94 : 709,077.06 = 157,170.84 : x
  2. Step 2: Convert to fraction form
    472,713.94/709,077.06 = 157,170.84/x
  3. Step 3: Cross multiply
    472,713.94x = 709,077.06 × 157,170.84
  4. Step 4: Simplify right side
    472,713.94x = 111,446,237,144.93
  5. Step 5: Solve for x
    x = 111,446,237,144.93/472,713.94
  6. Step 6: Final answer
    x = 235,758.30

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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.