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Finding the Fourth Proportional to 533,459.43, 736,441.71 and 412,326.97

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Solution

The fourth proportional to 533,459.43, 736,441.71 and 412,326.97 is: 569,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,459.43 : 736,441.71 = 412,326.97 : x
  2. Step 2: Convert to fraction form
    533,459.43/736,441.71 = 412,326.97/x
  3. Step 3: Cross multiply
    533,459.43x = 736,441.71 × 412,326.97
  4. Step 4: Simplify right side
    533,459.43x = 303,654,778,865.92
  5. Step 5: Solve for x
    x = 303,654,778,865.92/533,459.43
  6. Step 6: Final answer
    x = 569,218.13

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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.