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Finding the Fourth Proportional to 473,448.56, 710,220.23 and 136,497.47

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Solution

The fourth proportional to 473,448.56, 710,220.23 and 136,497.47 is: 204,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,448.56 : 710,220.23 = 136,497.47 : x
  2. Step 2: Convert to fraction form
    473,448.56/710,220.23 = 136,497.47/x
  3. Step 3: Cross multiply
    473,448.56x = 710,220.23 × 136,497.47
  4. Step 4: Simplify right side
    473,448.56x = 96,943,263,855.33
  5. Step 5: Solve for x
    x = 96,943,263,855.33/473,448.56
  6. Step 6: Final answer
    x = 204,759.87

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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.