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Finding the Fourth Proportional to 432,694, 596,729.82 and 360,336.52

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Solution

The fourth proportional to 432,694, 596,729.82 and 360,336.52 is: 496,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,694 : 596,729.82 = 360,336.52 : x
  2. Step 2: Convert to fraction form
    432,694/596,729.82 = 360,336.52/x
  3. Step 3: Cross multiply
    432,694x = 596,729.82 × 360,336.52
  4. Step 4: Simplify right side
    432,694x = 215,023,546,719.03
  5. Step 5: Solve for x
    x = 215,023,546,719.03/432,694
  6. Step 6: Final answer
    x = 496,941.36

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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.