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Finding the Fourth Proportional to 696,156.24, 960,672.96 and 409,692

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Solution

The fourth proportional to 696,156.24, 960,672.96 and 409,692 is: 565,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,156.24 : 960,672.96 = 409,692 : x
  2. Step 2: Convert to fraction form
    696,156.24/960,672.96 = 409,692/x
  3. Step 3: Cross multiply
    696,156.24x = 960,672.96 × 409,692
  4. Step 4: Simplify right side
    696,156.24x = 393,580,026,328.32
  5. Step 5: Solve for x
    x = 393,580,026,328.32/696,156.24
  6. Step 6: Final answer
    x = 565,361.63

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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.