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Finding the Fourth Proportional to 413,188.23, 570,127.75 and 231,907.80

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Solution

The fourth proportional to 413,188.23, 570,127.75 and 231,907.80 is: 319,992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,188.23 : 570,127.75 = 231,907.80 : x
  2. Step 2: Convert to fraction form
    413,188.23/570,127.75 = 231,907.80/x
  3. Step 3: Cross multiply
    413,188.23x = 570,127.75 × 231,907.80
  4. Step 4: Simplify right side
    413,188.23x = 132,217,072,221.45
  5. Step 5: Solve for x
    x = 132,217,072,221.45/413,188.23
  6. Step 6: Final answer
    x = 319,992.35

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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.