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Finding the Fourth Proportional to 413,369.90, 570,406.28 and 232,101.75

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Solution

The fourth proportional to 413,369.90, 570,406.28 and 232,101.75 is: 320,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,369.90 : 570,406.28 = 232,101.75 : x
  2. Step 2: Convert to fraction form
    413,369.90/570,406.28 = 232,101.75/x
  3. Step 3: Cross multiply
    413,369.90x = 570,406.28 × 232,101.75
  4. Step 4: Simplify right side
    413,369.90x = 132,392,294,638.48
  5. Step 5: Solve for x
    x = 132,392,294,638.48/413,369.90
  6. Step 6: Final answer
    x = 320,275.61

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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.