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Finding the Fourth Proportional to 425,513.47, 638,364.81 and 185,666.17

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Solution

The fourth proportional to 425,513.47, 638,364.81 and 185,666.17 is: 278,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,513.47 : 638,364.81 = 185,666.17 : x
  2. Step 2: Convert to fraction form
    425,513.47/638,364.81 = 185,666.17/x
  3. Step 3: Cross multiply
    425,513.47x = 638,364.81 × 185,666.17
  4. Step 4: Simplify right side
    425,513.47x = 118,522,749,335.48
  5. Step 5: Solve for x
    x = 118,522,749,335.48/425,513.47
  6. Step 6: Final answer
    x = 278,540.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.