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Finding the Fourth Proportional to 524,085.44, 723,221.16 and 294,652.43

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Solution

The fourth proportional to 524,085.44, 723,221.16 and 294,652.43 is: 406,610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,085.44 : 723,221.16 = 294,652.43 : x
  2. Step 2: Convert to fraction form
    524,085.44/723,221.16 = 294,652.43/x
  3. Step 3: Cross multiply
    524,085.44x = 723,221.16 × 294,652.43
  4. Step 4: Simplify right side
    524,085.44x = 213,098,874,280.57
  5. Step 5: Solve for x
    x = 213,098,874,280.57/524,085.44
  6. Step 6: Final answer
    x = 406,610.94

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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.