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Finding the Fourth Proportional to 474,733.56, 712,023.66 and 175,355.16

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Solution

The fourth proportional to 474,733.56, 712,023.66 and 175,355.16 is: 263,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,733.56 : 712,023.66 = 175,355.16 : x
  2. Step 2: Convert to fraction form
    474,733.56/712,023.66 = 175,355.16/x
  3. Step 3: Cross multiply
    474,733.56x = 712,023.66 × 175,355.16
  4. Step 4: Simplify right side
    474,733.56x = 124,857,022,823.09
  5. Step 5: Solve for x
    x = 124,857,022,823.09/474,733.56
  6. Step 6: Final answer
    x = 263,004.42

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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.