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Finding the Fourth Proportional to 473,550.81, 710,637.60 and 174,033.97

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Solution

The fourth proportional to 473,550.81, 710,637.60 and 174,033.97 is: 261,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,550.81 : 710,637.60 = 174,033.97 : x
  2. Step 2: Convert to fraction form
    473,550.81/710,637.60 = 174,033.97/x
  3. Step 3: Cross multiply
    473,550.81x = 710,637.60 × 174,033.97
  4. Step 4: Simplify right side
    473,550.81x = 123,675,081,635.31
  5. Step 5: Solve for x
    x = 123,675,081,635.31/473,550.81
  6. Step 6: Final answer
    x = 261,165.39

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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.