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Finding the Fourth Proportional to 473,675.80, 710,513.70 and 412,850.20

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Solution

The fourth proportional to 473,675.80, 710,513.70 and 412,850.20 is: 619,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,675.80 : 710,513.70 = 412,850.20 : x
  2. Step 2: Convert to fraction form
    473,675.80/710,513.70 = 412,850.20/x
  3. Step 3: Cross multiply
    473,675.80x = 710,513.70 × 412,850.20
  4. Step 4: Simplify right side
    473,675.80x = 293,335,723,147.74
  5. Step 5: Solve for x
    x = 293,335,723,147.74/473,675.80
  6. Step 6: Final answer
    x = 619,275.30

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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.