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Finding the Fourth Proportional to 378,045.45, 567,068.18 and 200,898.45

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Solution

The fourth proportional to 378,045.45, 567,068.18 and 200,898.45 is: 301,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,045.45 : 567,068.18 = 200,898.45 : x
  2. Step 2: Convert to fraction form
    378,045.45/567,068.18 = 200,898.45/x
  3. Step 3: Cross multiply
    378,045.45x = 567,068.18 × 200,898.45
  4. Step 4: Simplify right side
    378,045.45x = 113,923,117,401.83
  5. Step 5: Solve for x
    x = 113,923,117,401.83/378,045.45
  6. Step 6: Final answer
    x = 301,347.68

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1.5x scale

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.