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Finding the Fourth Proportional to 468,296.64, 646,249.32 and 253,436.75

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Solution

The fourth proportional to 468,296.64, 646,249.32 and 253,436.75 is: 349,742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,296.64 : 646,249.32 = 253,436.75 : x
  2. Step 2: Convert to fraction form
    468,296.64/646,249.32 = 253,436.75/x
  3. Step 3: Cross multiply
    468,296.64x = 646,249.32 × 253,436.75
  4. Step 4: Simplify right side
    468,296.64x = 163,783,326,542.70
  5. Step 5: Solve for x
    x = 163,783,326,542.70/468,296.64
  6. Step 6: Final answer
    x = 349,742.69

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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.