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Finding the Fourth Proportional to 315,475.61, 435,406.32 and 200,634.52

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Solution

The fourth proportional to 315,475.61, 435,406.32 and 200,634.52 is: 276,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,475.61 : 435,406.32 = 200,634.52 : x
  2. Step 2: Convert to fraction form
    315,475.61/435,406.32 = 200,634.52/x
  3. Step 3: Cross multiply
    315,475.61x = 435,406.32 × 200,634.52
  4. Step 4: Simplify right side
    315,475.61x = 87,357,536,929.65
  5. Step 5: Solve for x
    x = 87,357,536,929.65/315,475.61
  6. Step 6: Final answer
    x = 276,907.42

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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.