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Finding the Fourth Proportional to 517,406.02, 714,013.20 and 287,963.26

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Solution

The fourth proportional to 517,406.02, 714,013.20 and 287,963.26 is: 397,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,406.02 : 714,013.20 = 287,963.26 : x
  2. Step 2: Convert to fraction form
    517,406.02/714,013.20 = 287,963.26/x
  3. Step 3: Cross multiply
    517,406.02x = 714,013.20 × 287,963.26
  4. Step 4: Simplify right side
    517,406.02x = 205,609,568,755.03
  5. Step 5: Solve for x
    x = 205,609,568,755.03/517,406.02
  6. Step 6: Final answer
    x = 397,385.34

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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.