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Finding the Fourth Proportional to 473,146.40, 709,991.76 and 262,766.72

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Solution

The fourth proportional to 473,146.40, 709,991.76 and 262,766.72 is: 394,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,146.40 : 709,991.76 = 262,766.72 : x
  2. Step 2: Convert to fraction form
    473,146.40/709,991.76 = 262,766.72/x
  3. Step 3: Cross multiply
    473,146.40x = 709,991.76 × 262,766.72
  4. Step 4: Simplify right side
    473,146.40x = 186,562,206,002.23
  5. Step 5: Solve for x
    x = 186,562,206,002.23/473,146.40
  6. Step 6: Final answer
    x = 394,301.23

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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.