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Finding the Fourth Proportional to 424,113.84, 585,284.40 and 233,135.28

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Solution

The fourth proportional to 424,113.84, 585,284.40 and 233,135.28 is: 321,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,113.84 : 585,284.40 = 233,135.28 : x
  2. Step 2: Convert to fraction form
    424,113.84/585,284.40 = 233,135.28/x
  3. Step 3: Cross multiply
    424,113.84x = 585,284.40 × 233,135.28
  4. Step 4: Simplify right side
    424,113.84x = 136,450,442,473.63
  5. Step 5: Solve for x
    x = 136,450,442,473.63/424,113.84
  6. Step 6: Final answer
    x = 321,730.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.