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Finding the Fourth Proportional to 413,656, 620,484 and 118,168

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Solution

The fourth proportional to 413,656, 620,484 and 118,168 is: 177,252

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,656 : 620,484 = 118,168 : x
  2. Step 2: Convert to fraction form
    413,656/620,484 = 118,168/x
  3. Step 3: Cross multiply
    413,656x = 620,484 × 118,168
  4. Step 4: Simplify right side
    413,656x = 73,321,353,312
  5. Step 5: Solve for x
    x = 73,321,353,312/413,656
  6. Step 6: Final answer
    x = 177,252

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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.