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Finding the Fourth Proportional to 473,477.80, 710,316.06 and 136,517.80

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Solution

The fourth proportional to 473,477.80, 710,316.06 and 136,517.80 is: 204,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,477.80 : 710,316.06 = 136,517.80 : x
  2. Step 2: Convert to fraction form
    473,477.80/710,316.06 = 136,517.80/x
  3. Step 3: Cross multiply
    473,477.80x = 710,316.06 × 136,517.80
  4. Step 4: Simplify right side
    473,477.80x = 96,970,785,815.87
  5. Step 5: Solve for x
    x = 96,970,785,815.87/473,477.80
  6. Step 6: Final answer
    x = 204,805.35

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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.