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Finding the Fourth Proportional to 313,525, 432,788.50 and 218,087.08

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Solution

The fourth proportional to 313,525, 432,788.50 and 218,087.08 is: 301,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,525 : 432,788.50 = 218,087.08 : x
  2. Step 2: Convert to fraction form
    313,525/432,788.50 = 218,087.08/x
  3. Step 3: Cross multiply
    313,525x = 432,788.50 × 218,087.08
  4. Step 4: Simplify right side
    313,525x = 94,385,580,222.58
  5. Step 5: Solve for x
    x = 94,385,580,222.58/313,525
  6. Step 6: Final answer
    x = 301,046.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.