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Finding the Fourth Proportional to 298,340.52, 411,606.05 and 169,263.78

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Solution

The fourth proportional to 298,340.52, 411,606.05 and 169,263.78 is: 233,525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,340.52 : 411,606.05 = 169,263.78 : x
  2. Step 2: Convert to fraction form
    298,340.52/411,606.05 = 169,263.78/x
  3. Step 3: Cross multiply
    298,340.52x = 411,606.05 × 169,263.78
  4. Step 4: Simplify right side
    298,340.52x = 69,669,995,047.55
  5. Step 5: Solve for x
    x = 69,669,995,047.55/298,340.52
  6. Step 6: Final answer
    x = 233,525.08

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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.