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Finding the Fourth Proportional to 315,056.40, 472,613.40 and 128,029.20

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Solution

The fourth proportional to 315,056.40, 472,613.40 and 128,029.20 is: 192,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,056.40 : 472,613.40 = 128,029.20 : x
  2. Step 2: Convert to fraction form
    315,056.40/472,613.40 = 128,029.20/x
  3. Step 3: Cross multiply
    315,056.40x = 472,613.40 × 128,029.20
  4. Step 4: Simplify right side
    315,056.40x = 60,508,315,511.28
  5. Step 5: Solve for x
    x = 60,508,315,511.28/315,056.40
  6. Step 6: Final answer
    x = 192,055.50

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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.