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Finding the Fourth Proportional to 385,920.34, 532,571.70 and 224,885.86

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Solution

The fourth proportional to 385,920.34, 532,571.70 and 224,885.86 is: 310,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,920.34 : 532,571.70 = 224,885.86 : x
  2. Step 2: Convert to fraction form
    385,920.34/532,571.70 = 224,885.86/x
  3. Step 3: Cross multiply
    385,920.34x = 532,571.70 × 224,885.86
  4. Step 4: Simplify right side
    385,920.34x = 119,767,844,766.16
  5. Step 5: Solve for x
    x = 119,767,844,766.16/385,920.34
  6. Step 6: Final answer
    x = 310,343.44

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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.