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Finding the Fourth Proportional to 476,829.72, 714,799.80 and 161,065.80

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Solution

The fourth proportional to 476,829.72, 714,799.80 and 161,065.80 is: 241,448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,829.72 : 714,799.80 = 161,065.80 : x
  2. Step 2: Convert to fraction form
    476,829.72/714,799.80 = 161,065.80/x
  3. Step 3: Cross multiply
    476,829.72x = 714,799.80 × 161,065.80
  4. Step 4: Simplify right side
    476,829.72x = 115,129,801,626.84
  5. Step 5: Solve for x
    x = 115,129,801,626.84/476,829.72
  6. Step 6: Final answer
    x = 241,448.46

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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.