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Finding the Fourth Proportional to 315,138.80, 473,053.80 and 174,825.20

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Solution

The fourth proportional to 315,138.80, 473,053.80 and 174,825.20 is: 262,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,138.80 : 473,053.80 = 174,825.20 : x
  2. Step 2: Convert to fraction form
    315,138.80/473,053.80 = 174,825.20/x
  3. Step 3: Cross multiply
    315,138.80x = 473,053.80 × 174,825.20
  4. Step 4: Simplify right side
    315,138.80x = 82,701,725,195.76
  5. Step 5: Solve for x
    x = 82,701,725,195.76/315,138.80
  6. Step 6: Final answer
    x = 262,429.52

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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.