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Finding the Fourth Proportional to 538,436.25, 743,046.98 and 296,727.49

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Solution

The fourth proportional to 538,436.25, 743,046.98 and 296,727.49 is: 409,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,436.25 : 743,046.98 = 296,727.49 : x
  2. Step 2: Convert to fraction form
    538,436.25/743,046.98 = 296,727.49/x
  3. Step 3: Cross multiply
    538,436.25x = 743,046.98 × 296,727.49
  4. Step 4: Simplify right side
    538,436.25x = 220,482,465,327.48
  5. Step 5: Solve for x
    x = 220,482,465,327.48/538,436.25
  6. Step 6: Final answer
    x = 409,486.67

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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.