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Finding the Fourth Proportional to 473,069.82, 709,717.66 and 157,529.46

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Solution

The fourth proportional to 473,069.82, 709,717.66 and 157,529.46 is: 236,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,069.82 : 709,717.66 = 157,529.46 : x
  2. Step 2: Convert to fraction form
    473,069.82/709,717.66 = 157,529.46/x
  3. Step 3: Cross multiply
    473,069.82x = 709,717.66 × 157,529.46
  4. Step 4: Simplify right side
    473,069.82x = 111,801,439,732.26
  5. Step 5: Solve for x
    x = 111,801,439,732.26/473,069.82
  6. Step 6: Final answer
    x = 236,331.80

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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.