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Finding the Fourth Proportional to 369,834.93, 510,371.10 and 200,069.01

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Solution

The fourth proportional to 369,834.93, 510,371.10 and 200,069.01 is: 276,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,834.93 : 510,371.10 = 200,069.01 : x
  2. Step 2: Convert to fraction form
    369,834.93/510,371.10 = 200,069.01/x
  3. Step 3: Cross multiply
    369,834.93x = 510,371.10 × 200,069.01
  4. Step 4: Simplify right side
    369,834.93x = 102,109,440,709.61
  5. Step 5: Solve for x
    x = 102,109,440,709.61/369,834.93
  6. Step 6: Final answer
    x = 276,094.64

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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.