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Finding the Fourth Proportional to 297,272.32, 409,669.48 and 291,806.74

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Solution

The fourth proportional to 297,272.32, 409,669.48 and 291,806.74 is: 402,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,272.32 : 409,669.48 = 291,806.74 : x
  2. Step 2: Convert to fraction form
    297,272.32/409,669.48 = 291,806.74/x
  3. Step 3: Cross multiply
    297,272.32x = 409,669.48 × 291,806.74
  4. Step 4: Simplify right side
    297,272.32x = 119,544,315,436.30
  5. Step 5: Solve for x
    x = 119,544,315,436.30/297,272.32
  6. Step 6: Final answer
    x = 402,137.39

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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.