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Finding the Fourth Proportional to 497,746.81, 746,623.19 and 123,769.81

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Solution

The fourth proportional to 497,746.81, 746,623.19 and 123,769.81 is: 185,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,746.81 : 746,623.19 = 123,769.81 : x
  2. Step 2: Convert to fraction form
    497,746.81/746,623.19 = 123,769.81/x
  3. Step 3: Cross multiply
    497,746.81x = 746,623.19 × 123,769.81
  4. Step 4: Simplify right side
    497,746.81x = 92,409,410,367.89
  5. Step 5: Solve for x
    x = 92,409,410,367.89/497,746.81
  6. Step 6: Final answer
    x = 185,655.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.