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Finding the Fourth Proportional to 410,495.94, 566,494.02 and 229,201.74

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Solution

The fourth proportional to 410,495.94, 566,494.02 and 229,201.74 is: 316,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,495.94 : 566,494.02 = 229,201.74 : x
  2. Step 2: Convert to fraction form
    410,495.94/566,494.02 = 229,201.74/x
  3. Step 3: Cross multiply
    410,495.94x = 566,494.02 × 229,201.74
  4. Step 4: Simplify right side
    410,495.94x = 129,841,415,083.60
  5. Step 5: Solve for x
    x = 129,841,415,083.60/410,495.94
  6. Step 6: Final answer
    x = 316,303.77

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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.