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Finding the Fourth Proportional to 284,094.96, 392,193 and 176,699.64

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Solution

The fourth proportional to 284,094.96, 392,193 and 176,699.64 is: 243,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,094.96 : 392,193 = 176,699.64 : x
  2. Step 2: Convert to fraction form
    284,094.96/392,193 = 176,699.64/x
  3. Step 3: Cross multiply
    284,094.96x = 392,193 × 176,699.64
  4. Step 4: Simplify right side
    284,094.96x = 69,300,361,910.52
  5. Step 5: Solve for x
    x = 69,300,361,910.52/284,094.96
  6. Step 6: Final answer
    x = 243,933.80

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1.5x scale

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.