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Finding the Fourth Proportional to 297,008.91, 409,894.02 and 169,681.77

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Solution

The fourth proportional to 297,008.91, 409,894.02 and 169,681.77 is: 234,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,008.91 : 409,894.02 = 169,681.77 : x
  2. Step 2: Convert to fraction form
    297,008.91/409,894.02 = 169,681.77/x
  3. Step 3: Cross multiply
    297,008.91x = 409,894.02 × 169,681.77
  4. Step 4: Simplify right side
    297,008.91x = 69,551,542,826.02
  5. Step 5: Solve for x
    x = 69,551,542,826.02/297,008.91
  6. Step 6: Final answer
    x = 234,173.25

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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.