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Finding the Fourth Proportional to 369,996.64, 510,596.96 and 200,230.72

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Solution

The fourth proportional to 369,996.64, 510,596.96 and 200,230.72 is: 276,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,996.64 : 510,596.96 = 200,230.72 : x
  2. Step 2: Convert to fraction form
    369,996.64/510,596.96 = 200,230.72/x
  3. Step 3: Cross multiply
    369,996.64x = 510,596.96 × 200,230.72
  4. Step 4: Simplify right side
    369,996.64x = 102,237,196,930.61
  5. Step 5: Solve for x
    x = 102,237,196,930.61/369,996.64
  6. Step 6: Final answer
    x = 276,319.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.