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Finding the Fourth Proportional to 424,137.84, 585,317.52 and 233,159.28

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Solution

The fourth proportional to 424,137.84, 585,317.52 and 233,159.28 is: 321,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,137.84 : 585,317.52 = 233,159.28 : x
  2. Step 2: Convert to fraction form
    424,137.84/585,317.52 = 233,159.28/x
  3. Step 3: Cross multiply
    424,137.84x = 585,317.52 × 233,159.28
  4. Step 4: Simplify right side
    424,137.84x = 136,472,211,534.59
  5. Step 5: Solve for x
    x = 136,472,211,534.59/424,137.84
  6. Step 6: Final answer
    x = 321,763.82

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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.