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Finding the Fourth Proportional to 696,150.48, 960,669 and 409,687.44

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Solution

The fourth proportional to 696,150.48, 960,669 and 409,687.44 is: 565,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,150.48 : 960,669 = 409,687.44 : x
  2. Step 2: Convert to fraction form
    696,150.48/960,669 = 409,687.44/x
  3. Step 3: Cross multiply
    696,150.48x = 960,669 × 409,687.44
  4. Step 4: Simplify right side
    696,150.48x = 393,574,023,297.36
  5. Step 5: Solve for x
    x = 393,574,023,297.36/696,150.48
  6. Step 6: Final answer
    x = 565,357.68

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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.