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Finding the Fourth Proportional to 410,153.64, 565,927.52 and 235,690.14

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Solution

The fourth proportional to 410,153.64, 565,927.52 and 235,690.14 is: 325,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,153.64 : 565,927.52 = 235,690.14 : x
  2. Step 2: Convert to fraction form
    410,153.64/565,927.52 = 235,690.14/x
  3. Step 3: Cross multiply
    410,153.64x = 565,927.52 × 235,690.14
  4. Step 4: Simplify right side
    410,153.64x = 133,383,536,418.65
  5. Step 5: Solve for x
    x = 133,383,536,418.65/410,153.64
  6. Step 6: Final answer
    x = 325,203.83

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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.