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Finding the Fourth Proportional to 473,806.78, 710,605.80 and 136,774.24

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Solution

The fourth proportional to 473,806.78, 710,605.80 and 136,774.24 is: 205,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,806.78 : 710,605.80 = 136,774.24 : x
  2. Step 2: Convert to fraction form
    473,806.78/710,605.80 = 136,774.24/x
  3. Step 3: Cross multiply
    473,806.78x = 710,605.80 × 136,774.24
  4. Step 4: Simplify right side
    473,806.78x = 97,192,568,234.59
  5. Step 5: Solve for x
    x = 97,192,568,234.59/473,806.78
  6. Step 6: Final answer
    x = 205,131.23

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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.