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Finding the Fourth Proportional to 369,476.33, 509,913.89 and 224,270.66

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Solution

The fourth proportional to 369,476.33, 509,913.89 and 224,270.66 is: 309,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,476.33 : 509,913.89 = 224,270.66 : x
  2. Step 2: Convert to fraction form
    369,476.33/509,913.89 = 224,270.66/x
  3. Step 3: Cross multiply
    369,476.33x = 509,913.89 × 224,270.66
  4. Step 4: Simplify right side
    369,476.33x = 114,358,720,982.55
  5. Step 5: Solve for x
    x = 114,358,720,982.55/369,476.33
  6. Step 6: Final answer
    x = 309,515.69

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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.