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Finding the Fourth Proportional to 315,064.40, 472,596.60 and 196,869.20

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Solution

The fourth proportional to 315,064.40, 472,596.60 and 196,869.20 is: 295,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,064.40 : 472,596.60 = 196,869.20 : x
  2. Step 2: Convert to fraction form
    315,064.40/472,596.60 = 196,869.20/x
  3. Step 3: Cross multiply
    315,064.40x = 472,596.60 × 196,869.20
  4. Step 4: Simplify right side
    315,064.40x = 93,039,714,564.72
  5. Step 5: Solve for x
    x = 93,039,714,564.72/315,064.40
  6. Step 6: Final answer
    x = 295,303.80

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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.