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Finding the Fourth Proportional to 284,274.02, 392,298.73 and 156,949.86

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Solution

The fourth proportional to 284,274.02, 392,298.73 and 156,949.86 is: 216,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,274.02 : 392,298.73 = 156,949.86 : x
  2. Step 2: Convert to fraction form
    284,274.02/392,298.73 = 156,949.86/x
  3. Step 3: Cross multiply
    284,274.02x = 392,298.73 × 156,949.86
  4. Step 4: Simplify right side
    284,274.02x = 61,571,230,751.68
  5. Step 5: Solve for x
    x = 61,571,230,751.68/284,274.02
  6. Step 6: Final answer
    x = 216,591.13

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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.