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Finding the Fourth Proportional to 418,425.47, 627,602.65 and 165,637.23

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Solution

The fourth proportional to 418,425.47, 627,602.65 and 165,637.23 is: 248,441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,425.47 : 627,602.65 = 165,637.23 : x
  2. Step 2: Convert to fraction form
    418,425.47/627,602.65 = 165,637.23/x
  3. Step 3: Cross multiply
    418,425.47x = 627,602.65 × 165,637.23
  4. Step 4: Simplify right side
    418,425.47x = 103,954,364,486.66
  5. Step 5: Solve for x
    x = 103,954,364,486.66/418,425.47
  6. Step 6: Final answer
    x = 248,441.77

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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.