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Finding the Fourth Proportional to 283,039.38, 390,594.34 and 155,712.24

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Solution

The fourth proportional to 283,039.38, 390,594.34 and 155,712.24 is: 214,882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,039.38 : 390,594.34 = 155,712.24 : x
  2. Step 2: Convert to fraction form
    283,039.38/390,594.34 = 155,712.24/x
  3. Step 3: Cross multiply
    283,039.38x = 390,594.34 × 155,712.24
  4. Step 4: Simplify right side
    283,039.38x = 60,820,319,612.72
  5. Step 5: Solve for x
    x = 60,820,319,612.72/283,039.38
  6. Step 6: Final answer
    x = 214,882.89

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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.