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Finding the Fourth Proportional to 524,014.24, 785,363.64 and 224,142.36

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Solution

The fourth proportional to 524,014.24, 785,363.64 and 224,142.36 is: 335,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,014.24 : 785,363.64 = 224,142.36 : x
  2. Step 2: Convert to fraction form
    524,014.24/785,363.64 = 224,142.36/x
  3. Step 3: Cross multiply
    524,014.24x = 785,363.64 × 224,142.36
  4. Step 4: Simplify right side
    524,014.24x = 176,033,259,727.79
  5. Step 5: Solve for x
    x = 176,033,259,727.79/524,014.24
  6. Step 6: Final answer
    x = 335,932.21

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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.