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Finding the Fourth Proportional to 424,142.32, 585,329.88 and 233,163.76

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Solution

The fourth proportional to 424,142.32, 585,329.88 and 233,163.76 is: 321,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,142.32 : 585,329.88 = 233,163.76 : x
  2. Step 2: Convert to fraction form
    424,142.32/585,329.88 = 233,163.76/x
  3. Step 3: Cross multiply
    424,142.32x = 585,329.88 × 233,163.76
  4. Step 4: Simplify right side
    424,142.32x = 136,477,715,661.15
  5. Step 5: Solve for x
    x = 136,477,715,661.15/424,142.32
  6. Step 6: Final answer
    x = 321,773.40

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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.