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Finding the Fourth Proportional to 473,949.54, 710,295.48 and 207,419.85

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Solution

The fourth proportional to 473,949.54, 710,295.48 and 207,419.85 is: 310,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,949.54 : 710,295.48 = 207,419.85 : x
  2. Step 2: Convert to fraction form
    473,949.54/710,295.48 = 207,419.85/x
  3. Step 3: Cross multiply
    473,949.54x = 710,295.48 × 207,419.85
  4. Step 4: Simplify right side
    473,949.54x = 147,329,381,917.28
  5. Step 5: Solve for x
    x = 147,329,381,917.28/473,949.54
  6. Step 6: Final answer
    x = 310,854.57

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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.