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Finding the Fourth Proportional to 497,788.80, 746,681.76 and 123,811.80

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Solution

The fourth proportional to 497,788.80, 746,681.76 and 123,811.80 is: 185,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,788.80 : 746,681.76 = 123,811.80 : x
  2. Step 2: Convert to fraction form
    497,788.80/746,681.76 = 123,811.80/x
  3. Step 3: Cross multiply
    497,788.80x = 746,681.76 × 123,811.80
  4. Step 4: Simplify right side
    497,788.80x = 92,448,012,732.77
  5. Step 5: Solve for x
    x = 92,448,012,732.77/497,788.80
  6. Step 6: Final answer
    x = 185,717.34

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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.