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Finding the Fourth Proportional to 410,491.89, 566,472.93 and 229,206.68

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Solution

The fourth proportional to 410,491.89, 566,472.93 and 229,206.68 is: 316,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,491.89 : 566,472.93 = 229,206.68 : x
  2. Step 2: Convert to fraction form
    410,491.89/566,472.93 = 229,206.68/x
  3. Step 3: Cross multiply
    410,491.89x = 566,472.93 × 229,206.68
  4. Step 4: Simplify right side
    410,491.89x = 129,839,376,762.81
  5. Step 5: Solve for x
    x = 129,839,376,762.81/410,491.89
  6. Step 6: Final answer
    x = 316,301.93

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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.