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Finding the Fourth Proportional to 410,748.84, 566,792.64 and 229,456.87

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Solution

The fourth proportional to 410,748.84, 566,792.64 and 229,456.87 is: 316,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,748.84 : 566,792.64 = 229,456.87 : x
  2. Step 2: Convert to fraction form
    410,748.84/566,792.64 = 229,456.87/x
  3. Step 3: Cross multiply
    410,748.84x = 566,792.64 × 229,456.87
  4. Step 4: Simplify right side
    410,748.84x = 130,054,463,696.46
  5. Step 5: Solve for x
    x = 130,054,463,696.46/410,748.84
  6. Step 6: Final answer
    x = 316,627.71

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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.