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Finding the Fourth Proportional to 411,412.49, 567,801.75 and 230,134.49

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Solution

The fourth proportional to 411,412.49, 567,801.75 and 230,134.49 is: 317,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,412.49 : 567,801.75 = 230,134.49 : x
  2. Step 2: Convert to fraction form
    411,412.49/567,801.75 = 230,134.49/x
  3. Step 3: Cross multiply
    411,412.49x = 567,801.75 × 230,134.49
  4. Step 4: Simplify right side
    411,412.49x = 130,670,762,167.68
  5. Step 5: Solve for x
    x = 130,670,762,167.68/411,412.49
  6. Step 6: Final answer
    x = 317,614.97

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1.5x scale

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.