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Finding the Fourth Proportional to 473,189.85, 709,897.77 and 157,649.49

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Solution

The fourth proportional to 473,189.85, 709,897.77 and 157,649.49 is: 236,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,189.85 : 709,897.77 = 157,649.49 : x
  2. Step 2: Convert to fraction form
    473,189.85/709,897.77 = 157,649.49/x
  3. Step 3: Cross multiply
    473,189.85x = 709,897.77 × 157,649.49
  4. Step 4: Simplify right side
    473,189.85x = 111,915,021,392.64
  5. Step 5: Solve for x
    x = 111,915,021,392.64/473,189.85
  6. Step 6: Final answer
    x = 236,511.88

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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.