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Finding the Fourth Proportional to 424,564.68, 585,899.26 and 233,574

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Solution

The fourth proportional to 424,564.68, 585,899.26 and 233,574 is: 322,332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,564.68 : 585,899.26 = 233,574 : x
  2. Step 2: Convert to fraction form
    424,564.68/585,899.26 = 233,574/x
  3. Step 3: Cross multiply
    424,564.68x = 585,899.26 × 233,574
  4. Step 4: Simplify right side
    424,564.68x = 136,850,833,755.24
  5. Step 5: Solve for x
    x = 136,850,833,755.24/424,564.68
  6. Step 6: Final answer
    x = 322,332.12

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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.