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Finding the Fourth Proportional to 473,064.29, 709,709.43 and 157,523.93

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Solution

The fourth proportional to 473,064.29, 709,709.43 and 157,523.93 is: 236,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,064.29 : 709,709.43 = 157,523.93 : x
  2. Step 2: Convert to fraction form
    473,064.29/709,709.43 = 157,523.93/x
  3. Step 3: Cross multiply
    473,064.29x = 709,709.43 × 157,523.93
  4. Step 4: Simplify right side
    473,064.29x = 111,796,218,571.66
  5. Step 5: Solve for x
    x = 111,796,218,571.66/473,064.29
  6. Step 6: Final answer
    x = 236,323.52

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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.