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Finding the Fourth Proportional to 524,015.24, 785,365.14 and 224,143.36

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Solution

The fourth proportional to 524,015.24, 785,365.14 and 224,143.36 is: 335,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,015.24 : 785,365.14 = 224,143.36 : x
  2. Step 2: Convert to fraction form
    524,015.24/785,365.14 = 224,143.36/x
  3. Step 3: Cross multiply
    524,015.24x = 785,365.14 × 224,143.36
  4. Step 4: Simplify right side
    524,015.24x = 176,034,381,306.47
  5. Step 5: Solve for x
    x = 176,034,381,306.47/524,015.24
  6. Step 6: Final answer
    x = 335,933.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.