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Finding the Fourth Proportional to 473,109.22, 709,401.27 and 157,393.78

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Solution

The fourth proportional to 473,109.22, 709,401.27 and 157,393.78 is: 236,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,109.22 : 709,401.27 = 157,393.78 : x
  2. Step 2: Convert to fraction form
    473,109.22/709,401.27 = 157,393.78/x
  3. Step 3: Cross multiply
    473,109.22x = 709,401.27 × 157,393.78
  4. Step 4: Simplify right side
    473,109.22x = 111,655,347,422.10
  5. Step 5: Solve for x
    x = 111,655,347,422.10/473,109.22
  6. Step 6: Final answer
    x = 236,003.32

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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.