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Finding the Fourth Proportional to 380,070.65, 524,414.21 and 227,085.86

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Solution

The fourth proportional to 380,070.65, 524,414.21 and 227,085.86 is: 313,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,070.65 : 524,414.21 = 227,085.86 : x
  2. Step 2: Convert to fraction form
    380,070.65/524,414.21 = 227,085.86/x
  3. Step 3: Cross multiply
    380,070.65x = 524,414.21 × 227,085.86
  4. Step 4: Simplify right side
    380,070.65x = 119,087,048,116.57
  5. Step 5: Solve for x
    x = 119,087,048,116.57/380,070.65
  6. Step 6: Final answer
    x = 313,328.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.