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Finding the Fourth Proportional to 284,308.38, 392,348.07 and 156,993.66

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Solution

The fourth proportional to 284,308.38, 392,348.07 and 156,993.66 is: 216,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,308.38 : 392,348.07 = 156,993.66 : x
  2. Step 2: Convert to fraction form
    284,308.38/392,348.07 = 156,993.66/x
  3. Step 3: Cross multiply
    284,308.38x = 392,348.07 × 156,993.66
  4. Step 4: Simplify right side
    284,308.38x = 61,596,159,503.24
  5. Step 5: Solve for x
    x = 61,596,159,503.24/284,308.38
  6. Step 6: Final answer
    x = 216,652.63

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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.