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Finding the Fourth Proportional to 431,655.41, 595,415.39 and 278,634.66

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Solution

The fourth proportional to 431,655.41, 595,415.39 and 278,634.66 is: 384,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,655.41 : 595,415.39 = 278,634.66 : x
  2. Step 2: Convert to fraction form
    431,655.41/595,415.39 = 278,634.66/x
  3. Step 3: Cross multiply
    431,655.41x = 595,415.39 × 278,634.66
  4. Step 4: Simplify right side
    431,655.41x = 165,903,363,358.24
  5. Step 5: Solve for x
    x = 165,903,363,358.24/431,655.41
  6. Step 6: Final answer
    x = 384,342.14

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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.