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Finding the Fourth Proportional to 652,881.25, 899,494.06 and 505,198.35

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Solution

The fourth proportional to 652,881.25, 899,494.06 and 505,198.35 is: 696,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,881.25 : 899,494.06 = 505,198.35 : x
  2. Step 2: Convert to fraction form
    652,881.25/899,494.06 = 505,198.35/x
  3. Step 3: Cross multiply
    652,881.25x = 899,494.06 × 505,198.35
  4. Step 4: Simplify right side
    652,881.25x = 454,422,914,946.80
  5. Step 5: Solve for x
    x = 454,422,914,946.80/652,881.25
  6. Step 6: Final answer
    x = 696,026.91

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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.