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Finding the Fourth Proportional to 468,265.14, 646,200.90 and 253,400.40

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Solution

The fourth proportional to 468,265.14, 646,200.90 and 253,400.40 is: 349,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,265.14 : 646,200.90 = 253,400.40 : x
  2. Step 2: Convert to fraction form
    468,265.14/646,200.90 = 253,400.40/x
  3. Step 3: Cross multiply
    468,265.14x = 646,200.90 × 253,400.40
  4. Step 4: Simplify right side
    468,265.14x = 163,747,566,540.36
  5. Step 5: Solve for x
    x = 163,747,566,540.36/468,265.14
  6. Step 6: Final answer
    x = 349,689.85

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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.