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Finding the Fourth Proportional to 200,784.74, 300,585.36 and 175,873.46

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Solution

The fourth proportional to 200,784.74, 300,585.36 and 175,873.46 is: 263,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,784.74 : 300,585.36 = 175,873.46 : x
  2. Step 2: Convert to fraction form
    200,784.74/300,585.36 = 175,873.46/x
  3. Step 3: Cross multiply
    200,784.74x = 300,585.36 × 175,873.46
  4. Step 4: Simplify right side
    200,784.74x = 52,864,987,288.55
  5. Step 5: Solve for x
    x = 52,864,987,288.55/200,784.74
  6. Step 6: Final answer
    x = 263,291.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.