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Finding the Fourth Proportional to 274,804.40, 412,206.60 and 227,565.20

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Solution

The fourth proportional to 274,804.40, 412,206.60 and 227,565.20 is: 341,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,804.40 : 412,206.60 = 227,565.20 : x
  2. Step 2: Convert to fraction form
    274,804.40/412,206.60 = 227,565.20/x
  3. Step 3: Cross multiply
    274,804.40x = 412,206.60 × 227,565.20
  4. Step 4: Simplify right side
    274,804.40x = 93,803,877,370.32
  5. Step 5: Solve for x
    x = 93,803,877,370.32/274,804.40
  6. Step 6: Final answer
    x = 341,347.80

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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.