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Finding the Fourth Proportional to 407,580.80, 611,371.20 and 314,268.80

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Solution

The fourth proportional to 407,580.80, 611,371.20 and 314,268.80 is: 471,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,580.80 : 611,371.20 = 314,268.80 : x
  2. Step 2: Convert to fraction form
    407,580.80/611,371.20 = 314,268.80/x
  3. Step 3: Cross multiply
    407,580.80x = 611,371.20 × 314,268.80
  4. Step 4: Simplify right side
    407,580.80x = 192,134,893,378.56
  5. Step 5: Solve for x
    x = 192,134,893,378.56/407,580.80
  6. Step 6: Final answer
    x = 471,403.20

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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.