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Finding the Fourth Proportional to 424,332, 585,578.16 and 233,357.76

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Solution

The fourth proportional to 424,332, 585,578.16 and 233,357.76 is: 322,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,332 : 585,578.16 = 233,357.76 : x
  2. Step 2: Convert to fraction form
    424,332/585,578.16 = 233,357.76/x
  3. Step 3: Cross multiply
    424,332x = 585,578.16 × 233,357.76
  4. Step 4: Simplify right side
    424,332x = 136,649,207,722.52
  5. Step 5: Solve for x
    x = 136,649,207,722.52/424,332
  6. Step 6: Final answer
    x = 322,033.71

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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.