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Finding the Fourth Proportional to 314,744.80, 472,095.60 and 101,509.60

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Solution

The fourth proportional to 314,744.80, 472,095.60 and 101,509.60 is: 152,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,744.80 : 472,095.60 = 101,509.60 : x
  2. Step 2: Convert to fraction form
    314,744.80/472,095.60 = 101,509.60/x
  3. Step 3: Cross multiply
    314,744.80x = 472,095.60 × 101,509.60
  4. Step 4: Simplify right side
    314,744.80x = 47,922,235,517.76
  5. Step 5: Solve for x
    x = 47,922,235,517.76/314,744.80
  6. Step 6: Final answer
    x = 152,257.43

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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.