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Finding the Fourth Proportional to 356,588.58, 492,146.44 and 227,582.72

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Solution

The fourth proportional to 356,588.58, 492,146.44 and 227,582.72 is: 314,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,588.58 : 492,146.44 = 227,582.72 : x
  2. Step 2: Convert to fraction form
    356,588.58/492,146.44 = 227,582.72/x
  3. Step 3: Cross multiply
    356,588.58x = 492,146.44 × 227,582.72
  4. Step 4: Simplify right side
    356,588.58x = 112,004,022,423.83
  5. Step 5: Solve for x
    x = 112,004,022,423.83/356,588.58
  6. Step 6: Final answer
    x = 314,098.74

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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.