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Finding the Fourth Proportional to 468,112.97, 646,000.58 and 253,257.66

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Solution

The fourth proportional to 468,112.97, 646,000.58 and 253,257.66 is: 349,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,112.97 : 646,000.58 = 253,257.66 : x
  2. Step 2: Convert to fraction form
    468,112.97/646,000.58 = 253,257.66/x
  3. Step 3: Cross multiply
    468,112.97x = 646,000.58 × 253,257.66
  4. Step 4: Simplify right side
    468,112.97x = 163,604,593,983.15
  5. Step 5: Solve for x
    x = 163,604,593,983.15/468,112.97
  6. Step 6: Final answer
    x = 349,498.10

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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.