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Finding the Fourth Proportional to 535,033.76, 738,338.21 and 293,318.32

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Solution

The fourth proportional to 535,033.76, 738,338.21 and 293,318.32 is: 404,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,033.76 : 738,338.21 = 293,318.32 : x
  2. Step 2: Convert to fraction form
    535,033.76/738,338.21 = 293,318.32/x
  3. Step 3: Cross multiply
    535,033.76x = 738,338.21 × 293,318.32
  4. Step 4: Simplify right side
    535,033.76x = 216,568,123,905.28
  5. Step 5: Solve for x
    x = 216,568,123,905.28/535,033.76
  6. Step 6: Final answer
    x = 404,774.69

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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.