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Finding the Fourth Proportional to 284,204.72, 392,205.76 and 156,880.38

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Solution

The fourth proportional to 284,204.72, 392,205.76 and 156,880.38 is: 216,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,204.72 : 392,205.76 = 156,880.38 : x
  2. Step 2: Convert to fraction form
    284,204.72/392,205.76 = 156,880.38/x
  3. Step 3: Cross multiply
    284,204.72x = 392,205.76 × 156,880.38
  4. Step 4: Simplify right side
    284,204.72x = 61,529,388,666.99
  5. Step 5: Solve for x
    x = 61,529,388,666.99/284,204.72
  6. Step 6: Final answer
    x = 216,496.72

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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.