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Finding the Fourth Proportional to 432,327.79, 592,286.31 and 416,160.74

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Solution

The fourth proportional to 432,327.79, 592,286.31 and 416,160.74 is: 570,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,327.79 : 592,286.31 = 416,160.74 : x
  2. Step 2: Convert to fraction form
    432,327.79/592,286.31 = 416,160.74/x
  3. Step 3: Cross multiply
    432,327.79x = 592,286.31 × 416,160.74
  4. Step 4: Simplify right side
    432,327.79x = 246,486,309,061.47
  5. Step 5: Solve for x
    x = 246,486,309,061.47/432,327.79
  6. Step 6: Final answer
    x = 570,137.55

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.