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Finding the Fourth Proportional to 284,045.86, 392,125.32 and 176,650.49

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Solution

The fourth proportional to 284,045.86, 392,125.32 and 176,650.49 is: 243,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,045.86 : 392,125.32 = 176,650.49 : x
  2. Step 2: Convert to fraction form
    284,045.86/392,125.32 = 176,650.49/x
  3. Step 3: Cross multiply
    284,045.86x = 392,125.32 × 176,650.49
  4. Step 4: Simplify right side
    284,045.86x = 69,269,129,919.41
  5. Step 5: Solve for x
    x = 69,269,129,919.41/284,045.86
  6. Step 6: Final answer
    x = 243,866.01

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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.