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Finding the Fourth Proportional to 413,235.57, 570,221.28 and 231,967.47

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Solution

The fourth proportional to 413,235.57, 570,221.28 and 231,967.47 is: 320,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,235.57 : 570,221.28 = 231,967.47 : x
  2. Step 2: Convert to fraction form
    413,235.57/570,221.28 = 231,967.47/x
  3. Step 3: Cross multiply
    413,235.57x = 570,221.28 × 231,967.47
  4. Step 4: Simplify right side
    413,235.57x = 132,272,787,661.76
  5. Step 5: Solve for x
    x = 132,272,787,661.76/413,235.57
  6. Step 6: Final answer
    x = 320,090.52

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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.