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Finding the Fourth Proportional to 315,300.40, 472,950.60 and 197,105.20

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Solution

The fourth proportional to 315,300.40, 472,950.60 and 197,105.20 is: 295,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,300.40 : 472,950.60 = 197,105.20 : x
  2. Step 2: Convert to fraction form
    315,300.40/472,950.60 = 197,105.20/x
  3. Step 3: Cross multiply
    315,300.40x = 472,950.60 × 197,105.20
  4. Step 4: Simplify right side
    315,300.40x = 93,221,022,603.12
  5. Step 5: Solve for x
    x = 93,221,022,603.12/315,300.40
  6. Step 6: Final answer
    x = 295,657.80

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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.