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Finding the Fourth Proportional to 472,732.07, 709,104.24 and 157,188.96

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Solution

The fourth proportional to 472,732.07, 709,104.24 and 157,188.96 is: 235,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,732.07 : 709,104.24 = 157,188.96 : x
  2. Step 2: Convert to fraction form
    472,732.07/709,104.24 = 157,188.96/x
  3. Step 3: Cross multiply
    472,732.07x = 709,104.24 × 157,188.96
  4. Step 4: Simplify right side
    472,732.07x = 111,463,357,624.22
  5. Step 5: Solve for x
    x = 111,463,357,624.22/472,732.07
  6. Step 6: Final answer
    x = 235,785.48

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1.5x scale

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.