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Finding the Fourth Proportional to 452,898.56, 679,534.14 and 200,045.72

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Solution

The fourth proportional to 452,898.56, 679,534.14 and 200,045.72 is: 300,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,898.56 : 679,534.14 = 200,045.72 : x
  2. Step 2: Convert to fraction form
    452,898.56/679,534.14 = 200,045.72/x
  3. Step 3: Cross multiply
    452,898.56x = 679,534.14 × 200,045.72
  4. Step 4: Simplify right side
    452,898.56x = 135,937,896,300.88
  5. Step 5: Solve for x
    x = 135,937,896,300.88/452,898.56
  6. Step 6: Final answer
    x = 300,150.87

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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.