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Finding the Fourth Proportional to 385,838.84, 532,366.08 and 224,597

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Solution

The fourth proportional to 385,838.84, 532,366.08 and 224,597 is: 309,890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,838.84 : 532,366.08 = 224,597 : x
  2. Step 2: Convert to fraction form
    385,838.84/532,366.08 = 224,597/x
  3. Step 3: Cross multiply
    385,838.84x = 532,366.08 × 224,597
  4. Step 4: Simplify right side
    385,838.84x = 119,567,824,469.76
  5. Step 5: Solve for x
    x = 119,567,824,469.76/385,838.84
  6. Step 6: Final answer
    x = 309,890.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.