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Finding the Fourth Proportional to 413,527.52, 570,625.28 and 232,259.20

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Solution

The fourth proportional to 413,527.52, 570,625.28 and 232,259.20 is: 320,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,527.52 : 570,625.28 = 232,259.20 : x
  2. Step 2: Convert to fraction form
    413,527.52/570,625.28 = 232,259.20/x
  3. Step 3: Cross multiply
    413,527.52x = 570,625.28 × 232,259.20
  4. Step 4: Simplify right side
    413,527.52x = 132,532,971,032.58
  5. Step 5: Solve for x
    x = 132,532,971,032.58/413,527.52
  6. Step 6: Final answer
    x = 320,493.71

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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.