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Finding the Fourth Proportional to 411,307.77, 567,633.65 and 230,036.57

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Solution

The fourth proportional to 411,307.77, 567,633.65 and 230,036.57 is: 317,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,307.77 : 567,633.65 = 230,036.57 : x
  2. Step 2: Convert to fraction form
    411,307.77/567,633.65 = 230,036.57/x
  3. Step 3: Cross multiply
    411,307.77x = 567,633.65 × 230,036.57
  4. Step 4: Simplify right side
    411,307.77x = 130,576,493,874.23
  5. Step 5: Solve for x
    x = 130,576,493,874.23/411,307.77
  6. Step 6: Final answer
    x = 317,466.64

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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.