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Finding the Fourth Proportional to 424,571.71, 585,908.94 and 233,581

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Solution

The fourth proportional to 424,571.71, 585,908.94 and 233,581 is: 322,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,571.71 : 585,908.94 = 233,581 : x
  2. Step 2: Convert to fraction form
    424,571.71/585,908.94 = 233,581/x
  3. Step 3: Cross multiply
    424,571.71x = 585,908.94 × 233,581
  4. Step 4: Simplify right side
    424,571.71x = 136,857,196,114.14
  5. Step 5: Solve for x
    x = 136,857,196,114.14/424,571.71
  6. Step 6: Final answer
    x = 322,341.77

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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.