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Finding the Fourth Proportional to 315,798.25, 473,699.42 and 126,274.54

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Solution

The fourth proportional to 315,798.25, 473,699.42 and 126,274.54 is: 189,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,798.25 : 473,699.42 = 126,274.54 : x
  2. Step 2: Convert to fraction form
    315,798.25/473,699.42 = 126,274.54/x
  3. Step 3: Cross multiply
    315,798.25x = 473,699.42 × 126,274.54
  4. Step 4: Simplify right side
    315,798.25x = 59,816,175,490.20
  5. Step 5: Solve for x
    x = 59,816,175,490.20/315,798.25
  6. Step 6: Final answer
    x = 189,412.63

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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.