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Finding the Fourth Proportional to 297,038.83, 409,935.27 and 169,711.69

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Solution

The fourth proportional to 297,038.83, 409,935.27 and 169,711.69 is: 234,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,038.83 : 409,935.27 = 169,711.69 : x
  2. Step 2: Convert to fraction form
    297,038.83/409,935.27 = 169,711.69/x
  3. Step 3: Cross multiply
    297,038.83x = 409,935.27 × 169,711.69
  4. Step 4: Simplify right side
    297,038.83x = 69,570,807,462.31
  5. Step 5: Solve for x
    x = 69,570,807,462.31/297,038.83
  6. Step 6: Final answer
    x = 234,214.52

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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.