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Finding the Fourth Proportional to 424,448.64, 585,726.78 and 233,461.98

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Solution

The fourth proportional to 424,448.64, 585,726.78 and 233,461.98 is: 322,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,448.64 : 585,726.78 = 233,461.98 : x
  2. Step 2: Convert to fraction form
    424,448.64/585,726.78 = 233,461.98/x
  3. Step 3: Cross multiply
    424,448.64x = 585,726.78 × 233,461.98
  4. Step 4: Simplify right side
    424,448.64x = 136,744,933,797.82
  5. Step 5: Solve for x
    x = 136,744,933,797.82/424,448.64
  6. Step 6: Final answer
    x = 322,170.74

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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.