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Finding the Fourth Proportional to 418,214.84, 627,322.77 and 114,611.51

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Solution

The fourth proportional to 418,214.84, 627,322.77 and 114,611.51 is: 171,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,214.84 : 627,322.77 = 114,611.51 : x
  2. Step 2: Convert to fraction form
    418,214.84/627,322.77 = 114,611.51/x
  3. Step 3: Cross multiply
    418,214.84x = 627,322.77 × 114,611.51
  4. Step 4: Simplify right side
    418,214.84x = 71,898,411,495.39
  5. Step 5: Solve for x
    x = 71,898,411,495.39/418,214.84
  6. Step 6: Final answer
    x = 171,917.41

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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.