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Finding the Fourth Proportional to 413,522.94, 570,675.42 and 232,266.84

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Solution

The fourth proportional to 413,522.94, 570,675.42 and 232,266.84 is: 320,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,522.94 : 570,675.42 = 232,266.84 : x
  2. Step 2: Convert to fraction form
    413,522.94/570,675.42 = 232,266.84/x
  3. Step 3: Cross multiply
    413,522.94x = 570,675.42 × 232,266.84
  4. Step 4: Simplify right side
    413,522.94x = 132,548,976,469.07
  5. Step 5: Solve for x
    x = 132,548,976,469.07/413,522.94
  6. Step 6: Final answer
    x = 320,535.97

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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.