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Finding the Fourth Proportional to 411,195.53, 567,605.87 and 368,097.40

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Solution

The fourth proportional to 411,195.53, 567,605.87 and 368,097.40 is: 508,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,195.53 : 567,605.87 = 368,097.40 : x
  2. Step 2: Convert to fraction form
    411,195.53/567,605.87 = 368,097.40/x
  3. Step 3: Cross multiply
    411,195.53x = 567,605.87 × 368,097.40
  4. Step 4: Simplify right side
    411,195.53x = 208,934,244,971.74
  5. Step 5: Solve for x
    x = 208,934,244,971.74/411,195.53
  6. Step 6: Final answer
    x = 508,114.10

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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.