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Finding the Fourth Proportional to 473,064.57, 709,709.85 and 157,524.21

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Solution

The fourth proportional to 473,064.57, 709,709.85 and 157,524.21 is: 236,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,064.57 : 709,709.85 = 157,524.21 : x
  2. Step 2: Convert to fraction form
    473,064.57/709,709.85 = 157,524.21/x
  3. Step 3: Cross multiply
    473,064.57x = 709,709.85 × 157,524.21
  4. Step 4: Simplify right side
    473,064.57x = 111,796,483,450.47
  5. Step 5: Solve for x
    x = 111,796,483,450.47/473,064.57
  6. Step 6: Final answer
    x = 236,323.94

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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.