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Finding the Fourth Proportional to 424,039.68, 585,152.64 and 233,078.40

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Solution

The fourth proportional to 424,039.68, 585,152.64 and 233,078.40 is: 321,636.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,039.68 : 585,152.64 = 233,078.40 : x
  2. Step 2: Convert to fraction form
    424,039.68/585,152.64 = 233,078.40/x
  3. Step 3: Cross multiply
    424,039.68x = 585,152.64 × 233,078.40
  4. Step 4: Simplify right side
    424,039.68x = 136,386,441,086.98
  5. Step 5: Solve for x
    x = 136,386,441,086.98/424,039.68
  6. Step 6: Final answer
    x = 321,636.03

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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.