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Finding the Fourth Proportional to 517,836.18, 714,599.42 and 288,393.38

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Solution

The fourth proportional to 517,836.18, 714,599.42 and 288,393.38 is: 397,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,836.18 : 714,599.42 = 288,393.38 : x
  2. Step 2: Convert to fraction form
    517,836.18/714,599.42 = 288,393.38/x
  3. Step 3: Cross multiply
    517,836.18x = 714,599.42 × 288,393.38
  4. Step 4: Simplify right side
    517,836.18x = 206,085,742,079.84
  5. Step 5: Solve for x
    x = 206,085,742,079.84/517,836.18
  6. Step 6: Final answer
    x = 397,974.78

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1.5x scale

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.