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Finding the Fourth Proportional to 356,588.70, 492,146.62 and 227,582.84

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Solution

The fourth proportional to 356,588.70, 492,146.62 and 227,582.84 is: 314,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,588.70 : 492,146.62 = 227,582.84 : x
  2. Step 2: Convert to fraction form
    356,588.70/492,146.62 = 227,582.84/x
  3. Step 3: Cross multiply
    356,588.70x = 492,146.62 × 227,582.84
  4. Step 4: Simplify right side
    356,588.70x = 112,004,125,476.00
  5. Step 5: Solve for x
    x = 112,004,125,476.00/356,588.70
  6. Step 6: Final answer
    x = 314,098.92

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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.