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Finding the Fourth Proportional to 369,998.10, 510,597.38 and 200,232.23

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Solution

The fourth proportional to 369,998.10, 510,597.38 and 200,232.23 is: 276,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,998.10 : 510,597.38 = 200,232.23 : x
  2. Step 2: Convert to fraction form
    369,998.10/510,597.38 = 200,232.23/x
  3. Step 3: Cross multiply
    369,998.10x = 510,597.38 × 200,232.23
  4. Step 4: Simplify right side
    369,998.10x = 102,238,049,476.57
  5. Step 5: Solve for x
    x = 102,238,049,476.57/369,998.10
  6. Step 6: Final answer
    x = 276,320.47

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Double scale
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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.