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Finding the Fourth Proportional to 227,761.60, 341,642.40 and 216,875.20

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Solution

The fourth proportional to 227,761.60, 341,642.40 and 216,875.20 is: 325,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,761.60 : 341,642.40 = 216,875.20 : x
  2. Step 2: Convert to fraction form
    227,761.60/341,642.40 = 216,875.20/x
  3. Step 3: Cross multiply
    227,761.60x = 341,642.40 × 216,875.20
  4. Step 4: Simplify right side
    227,761.60x = 74,093,763,828.48
  5. Step 5: Solve for x
    x = 74,093,763,828.48/227,761.60
  6. Step 6: Final answer
    x = 325,312.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.