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Finding the Fourth Proportional to 468,851.24, 647,013.12 and 253,991.06

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Solution

The fourth proportional to 468,851.24, 647,013.12 and 253,991.06 is: 350,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,851.24 : 647,013.12 = 253,991.06 : x
  2. Step 2: Convert to fraction form
    468,851.24/647,013.12 = 253,991.06/x
  3. Step 3: Cross multiply
    468,851.24x = 647,013.12 × 253,991.06
  4. Step 4: Simplify right side
    468,851.24x = 164,335,548,182.71
  5. Step 5: Solve for x
    x = 164,335,548,182.71/468,851.24
  6. Step 6: Final answer
    x = 350,506.80

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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.