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Finding the Fourth Proportional to 533,458.93, 736,441.02 and 412,326.47

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Solution

The fourth proportional to 533,458.93, 736,441.02 and 412,326.47 is: 569,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,458.93 : 736,441.02 = 412,326.47 : x
  2. Step 2: Convert to fraction form
    533,458.93/736,441.02 = 412,326.47/x
  3. Step 3: Cross multiply
    533,458.93x = 736,441.02 × 412,326.47
  4. Step 4: Simplify right side
    533,458.93x = 303,654,126,139.80
  5. Step 5: Solve for x
    x = 303,654,126,139.80/533,458.93
  6. Step 6: Final answer
    x = 569,217.44

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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.