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Finding the Fourth Proportional to 315,276.40, 472,914.60 and 298,169.20

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Solution

The fourth proportional to 315,276.40, 472,914.60 and 298,169.20 is: 447,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,276.40 : 472,914.60 = 298,169.20 : x
  2. Step 2: Convert to fraction form
    315,276.40/472,914.60 = 298,169.20/x
  3. Step 3: Cross multiply
    315,276.40x = 472,914.60 × 298,169.20
  4. Step 4: Simplify right side
    315,276.40x = 141,008,567,950.32
  5. Step 5: Solve for x
    x = 141,008,567,950.32/315,276.40
  6. Step 6: Final answer
    x = 447,253.80

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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.