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Finding the Fourth Proportional to 424,137.64, 585,310.64 and 233,152.24

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Solution

The fourth proportional to 424,137.64, 585,310.64 and 233,152.24 is: 321,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,137.64 : 585,310.64 = 233,152.24 : x
  2. Step 2: Convert to fraction form
    424,137.64/585,310.64 = 233,152.24/x
  3. Step 3: Cross multiply
    424,137.64x = 585,310.64 × 233,152.24
  4. Step 4: Simplify right side
    424,137.64x = 136,466,486,811.83
  5. Step 5: Solve for x
    x = 136,466,486,811.83/424,137.64
  6. Step 6: Final answer
    x = 321,750.47

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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.