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Finding the Fourth Proportional to 524,011.74, 785,359.89 and 224,139.84

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Solution

The fourth proportional to 524,011.74, 785,359.89 and 224,139.84 is: 335,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,011.74 : 785,359.89 = 224,139.84 : x
  2. Step 2: Convert to fraction form
    524,011.74/785,359.89 = 224,139.84/x
  3. Step 3: Cross multiply
    524,011.74x = 785,359.89 × 224,139.84
  4. Step 4: Simplify right side
    524,011.74x = 176,030,440,087.02
  5. Step 5: Solve for x
    x = 176,030,440,087.02/524,011.74
  6. Step 6: Final answer
    x = 335,928.43

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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.