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Finding the Fourth Proportional to 517,407.80, 714,015.60 and 287,965.01

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Solution

The fourth proportional to 517,407.80, 714,015.60 and 287,965.01 is: 397,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,407.80 : 714,015.60 = 287,965.01 : x
  2. Step 2: Convert to fraction form
    517,407.80/714,015.60 = 287,965.01/x
  3. Step 3: Cross multiply
    517,407.80x = 714,015.60 × 287,965.01
  4. Step 4: Simplify right side
    517,407.80x = 205,611,505,824.08
  5. Step 5: Solve for x
    x = 205,611,505,824.08/517,407.80
  6. Step 6: Final answer
    x = 397,387.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.