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Finding the Fourth Proportional to 506,423.84, 759,738 and 225,941.12

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Solution

The fourth proportional to 506,423.84, 759,738 and 225,941.12 is: 338,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,423.84 : 759,738 = 225,941.12 : x
  2. Step 2: Convert to fraction form
    506,423.84/759,738 = 225,941.12/x
  3. Step 3: Cross multiply
    506,423.84x = 759,738 × 225,941.12
  4. Step 4: Simplify right side
    506,423.84x = 171,656,054,626.56
  5. Step 5: Solve for x
    x = 171,656,054,626.56/506,423.84
  6. Step 6: Final answer
    x = 338,957.29

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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.