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Finding the Fourth Proportional to 369,951.42, 510,543.18 and 224,708.16

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Solution

The fourth proportional to 369,951.42, 510,543.18 and 224,708.16 is: 310,103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,951.42 : 510,543.18 = 224,708.16 : x
  2. Step 2: Convert to fraction form
    369,951.42/510,543.18 = 224,708.16/x
  3. Step 3: Cross multiply
    369,951.42x = 510,543.18 × 224,708.16
  4. Step 4: Simplify right side
    369,951.42x = 114,723,218,578.35
  5. Step 5: Solve for x
    x = 114,723,218,578.35/369,951.42
  6. Step 6: Final answer
    x = 310,103.47

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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.