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Finding the Fourth Proportional to 476,462.93, 714,973.23 and 177,150.11

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Solution

The fourth proportional to 476,462.93, 714,973.23 and 177,150.11 is: 265,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,462.93 : 714,973.23 = 177,150.11 : x
  2. Step 2: Convert to fraction form
    476,462.93/714,973.23 = 177,150.11/x
  3. Step 3: Cross multiply
    476,462.93x = 714,973.23 × 177,150.11
  4. Step 4: Simplify right side
    476,462.93x = 126,657,582,766.69
  5. Step 5: Solve for x
    x = 126,657,582,766.69/476,462.93
  6. Step 6: Final answer
    x = 265,828.83

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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.