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Finding the Fourth Proportional to 780,494.74, 1,170,209.38 and 415,810.87

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Solution

The fourth proportional to 780,494.74, 1,170,209.38 and 415,810.87 is: 623,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,494.74 : 1,170,209.38 = 415,810.87 : x
  2. Step 2: Convert to fraction form
    780,494.74/1,170,209.38 = 415,810.87/x
  3. Step 3: Cross multiply
    780,494.74x = 1,170,209.38 × 415,810.87
  4. Step 4: Simplify right side
    780,494.74x = 486,585,777,194.56
  5. Step 5: Solve for x
    x = 486,585,777,194.56/780,494.74
  6. Step 6: Final answer
    x = 623,432.49

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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.