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Finding the Fourth Proportional to 314,104.87, 469,968.38 and 186,089.89

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Solution

The fourth proportional to 314,104.87, 469,968.38 and 186,089.89 is: 278,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,104.87 : 469,968.38 = 186,089.89 : x
  2. Step 2: Convert to fraction form
    314,104.87/469,968.38 = 186,089.89/x
  3. Step 3: Cross multiply
    314,104.87x = 469,968.38 × 186,089.89
  4. Step 4: Simplify right side
    314,104.87x = 87,456,363,611.34
  5. Step 5: Solve for x
    x = 87,456,363,611.34/314,104.87
  6. Step 6: Final answer
    x = 278,430.46

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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.