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Finding the Fourth Proportional to 411,488.19, 567,830.82 and 230,165.10

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Solution

The fourth proportional to 411,488.19, 567,830.82 and 230,165.10 is: 317,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,488.19 : 567,830.82 = 230,165.10 : x
  2. Step 2: Convert to fraction form
    411,488.19/567,830.82 = 230,165.10/x
  3. Step 3: Cross multiply
    411,488.19x = 567,830.82 × 230,165.10
  4. Step 4: Simplify right side
    411,488.19x = 130,694,837,468.38
  5. Step 5: Solve for x
    x = 130,694,837,468.38/411,488.19
  6. Step 6: Final answer
    x = 317,615.04

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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.