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Finding the Fourth Proportional to 506,425.84, 759,741 and 225,943.12

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Solution

The fourth proportional to 506,425.84, 759,741 and 225,943.12 is: 338,960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,425.84 : 759,741 = 225,943.12 : x
  2. Step 2: Convert to fraction form
    506,425.84/759,741 = 225,943.12/x
  3. Step 3: Cross multiply
    506,425.84x = 759,741 × 225,943.12
  4. Step 4: Simplify right side
    506,425.84x = 171,658,251,931.92
  5. Step 5: Solve for x
    x = 171,658,251,931.92/506,425.84
  6. Step 6: Final answer
    x = 338,960.29

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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.