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Finding the Fourth Proportional to 424,216.64, 585,404.01 and 233,228.57

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Solution

The fourth proportional to 424,216.64, 585,404.01 and 233,228.57 is: 321,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,216.64 : 585,404.01 = 233,228.57 : x
  2. Step 2: Convert to fraction form
    424,216.64/585,404.01 = 233,228.57/x
  3. Step 3: Cross multiply
    424,216.64x = 585,404.01 × 233,228.57
  4. Step 4: Simplify right side
    424,216.64x = 136,532,937,197.55
  5. Step 5: Solve for x
    x = 136,532,937,197.55/424,216.64
  6. Step 6: Final answer
    x = 321,847.20

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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.