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Finding the Fourth Proportional to 413,250.68, 570,294.36 and 231,975.68

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Solution

The fourth proportional to 413,250.68, 570,294.36 and 231,975.68 is: 320,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,250.68 : 570,294.36 = 231,975.68 : x
  2. Step 2: Convert to fraction form
    413,250.68/570,294.36 = 231,975.68/x
  3. Step 3: Cross multiply
    413,250.68x = 570,294.36 × 231,975.68
  4. Step 4: Simplify right side
    413,250.68x = 132,294,421,961.17
  5. Step 5: Solve for x
    x = 132,294,421,961.17/413,250.68
  6. Step 6: Final answer
    x = 320,131.17

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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.