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Finding the Fourth Proportional to 653,830.36, 980,744.10 and 174,058.27

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Solution

The fourth proportional to 653,830.36, 980,744.10 and 174,058.27 is: 261,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,830.36 : 980,744.10 = 174,058.27 : x
  2. Step 2: Convert to fraction form
    653,830.36/980,744.10 = 174,058.27/x
  3. Step 3: Cross multiply
    653,830.36x = 980,744.10 × 174,058.27
  4. Step 4: Simplify right side
    653,830.36x = 170,706,621,358.71
  5. Step 5: Solve for x
    x = 170,706,621,358.71/653,830.36
  6. Step 6: Final answer
    x = 261,087.02

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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.