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Finding the Fourth Proportional to 284,291.78, 392,328.78 and 156,975.44

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Solution

The fourth proportional to 284,291.78, 392,328.78 and 156,975.44 is: 216,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,291.78 : 392,328.78 = 156,975.44 : x
  2. Step 2: Convert to fraction form
    284,291.78/392,328.78 = 156,975.44/x
  3. Step 3: Cross multiply
    284,291.78x = 392,328.78 × 156,975.44
  4. Step 4: Simplify right side
    284,291.78x = 61,585,982,865.16
  5. Step 5: Solve for x
    x = 61,585,982,865.16/284,291.78
  6. Step 6: Final answer
    x = 216,629.49

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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.