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Finding the Fourth Proportional to 380,356.90, 524,908.92 and 210,591.02

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Solution

The fourth proportional to 380,356.90, 524,908.92 and 210,591.02 is: 290,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,356.90 : 524,908.92 = 210,591.02 : x
  2. Step 2: Convert to fraction form
    380,356.90/524,908.92 = 210,591.02/x
  3. Step 3: Cross multiply
    380,356.90x = 524,908.92 × 210,591.02
  4. Step 4: Simplify right side
    380,356.90x = 110,541,104,869.90
  5. Step 5: Solve for x
    x = 110,541,104,869.90/380,356.90
  6. Step 6: Final answer
    x = 290,624.69

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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.