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Finding the Fourth Proportional to 298,534.76, 411,973.91 and 169,472.12

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Solution

The fourth proportional to 298,534.76, 411,973.91 and 169,472.12 is: 233,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,534.76 : 411,973.91 = 169,472.12 : x
  2. Step 2: Convert to fraction form
    298,534.76/411,973.91 = 169,472.12/x
  3. Step 3: Cross multiply
    298,534.76x = 411,973.91 × 169,472.12
  4. Step 4: Simplify right side
    298,534.76x = 69,818,090,593.96
  5. Step 5: Solve for x
    x = 69,818,090,593.96/298,534.76
  6. Step 6: Final answer
    x = 233,869.21

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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.