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Finding the Fourth Proportional to 473,111.22, 709,404.26 and 157,395.78

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Solution

The fourth proportional to 473,111.22, 709,404.26 and 157,395.78 is: 236,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,111.22 : 709,404.26 = 157,395.78 : x
  2. Step 2: Convert to fraction form
    473,111.22/709,404.26 = 157,395.78/x
  3. Step 3: Cross multiply
    473,111.22x = 709,404.26 × 157,395.78
  4. Step 4: Simplify right side
    473,111.22x = 111,657,236,838.02
  5. Step 5: Solve for x
    x = 111,657,236,838.02/473,111.22
  6. Step 6: Final answer
    x = 236,006.32

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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.