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Finding the Fourth Proportional to 380,401.66, 524,947.88 and 210,632.14

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Solution

The fourth proportional to 380,401.66, 524,947.88 and 210,632.14 is: 290,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,401.66 : 524,947.88 = 210,632.14 : x
  2. Step 2: Convert to fraction form
    380,401.66/524,947.88 = 210,632.14/x
  3. Step 3: Cross multiply
    380,401.66x = 524,947.88 × 210,632.14
  4. Step 4: Simplify right side
    380,401.66x = 110,570,895,352.86
  5. Step 5: Solve for x
    x = 110,570,895,352.86/380,401.66
  6. Step 6: Final answer
    x = 290,668.80

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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.