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Finding the Fourth Proportional to 473,461.22, 710,198.31 and 157,918.43

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Solution

The fourth proportional to 473,461.22, 710,198.31 and 157,918.43 is: 236,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,461.22 : 710,198.31 = 157,918.43 : x
  2. Step 2: Convert to fraction form
    473,461.22/710,198.31 = 157,918.43/x
  3. Step 3: Cross multiply
    473,461.22x = 710,198.31 × 157,918.43
  4. Step 4: Simplify right side
    473,461.22x = 112,153,398,552.86
  5. Step 5: Solve for x
    x = 112,153,398,552.86/473,461.22
  6. Step 6: Final answer
    x = 236,879.80

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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.