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Finding the Fourth Proportional to 369,646.38, 510,111.64 and 199,880.10

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Solution

The fourth proportional to 369,646.38, 510,111.64 and 199,880.10 is: 275,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,646.38 : 510,111.64 = 199,880.10 : x
  2. Step 2: Convert to fraction form
    369,646.38/510,111.64 = 199,880.10/x
  3. Step 3: Cross multiply
    369,646.38x = 510,111.64 × 199,880.10
  4. Step 4: Simplify right side
    369,646.38x = 101,961,165,614.36
  5. Step 5: Solve for x
    x = 101,961,165,614.36/369,646.38
  6. Step 6: Final answer
    x = 275,834.34

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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.