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Finding the Fourth Proportional to 413,628.35, 570,785.20 and 232,347.92

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Solution

The fourth proportional to 413,628.35, 570,785.20 and 232,347.92 is: 320,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,628.35 : 570,785.20 = 232,347.92 : x
  2. Step 2: Convert to fraction form
    413,628.35/570,785.20 = 232,347.92/x
  3. Step 3: Cross multiply
    413,628.35x = 570,785.20 × 232,347.92
  4. Step 4: Simplify right side
    413,628.35x = 132,620,750,551.99
  5. Step 5: Solve for x
    x = 132,620,750,551.99/413,628.35
  6. Step 6: Final answer
    x = 320,627.81

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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.