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Finding the Fourth Proportional to 555,432, 832,975.20 and 200,399.52

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Solution

The fourth proportional to 555,432, 832,975.20 and 200,399.52 is: 300,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,432 : 832,975.20 = 200,399.52 : x
  2. Step 2: Convert to fraction form
    555,432/832,975.20 = 200,399.52/x
  3. Step 3: Cross multiply
    555,432x = 832,975.20 × 200,399.52
  4. Step 4: Simplify right side
    555,432x = 166,927,830,251.90
  5. Step 5: Solve for x
    x = 166,927,830,251.90/555,432
  6. Step 6: Final answer
    x = 300,536.93

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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.