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Finding the Fourth Proportional to 296,519.32, 409,203.66 and 169,206.76

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Solution

The fourth proportional to 296,519.32, 409,203.66 and 169,206.76 is: 233,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,519.32 : 409,203.66 = 169,206.76 : x
  2. Step 2: Convert to fraction form
    296,519.32/409,203.66 = 169,206.76/x
  3. Step 3: Cross multiply
    296,519.32x = 409,203.66 × 169,206.76
  4. Step 4: Simplify right side
    296,519.32x = 69,240,025,488.74
  5. Step 5: Solve for x
    x = 69,240,025,488.74/296,519.32
  6. Step 6: Final answer
    x = 233,509.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.