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Finding the Fourth Proportional to 296,642.30, 409,253.38 and 219,303.65

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Solution

The fourth proportional to 296,642.30, 409,253.38 and 219,303.65 is: 302,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,642.30 : 409,253.38 = 219,303.65 : x
  2. Step 2: Convert to fraction form
    296,642.30/409,253.38 = 219,303.65/x
  3. Step 3: Cross multiply
    296,642.30x = 409,253.38 × 219,303.65
  4. Step 4: Simplify right side
    296,642.30x = 89,750,760,008.84
  5. Step 5: Solve for x
    x = 89,750,760,008.84/296,642.30
  6. Step 6: Final answer
    x = 302,555.50

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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.