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Finding the Fourth Proportional to 474,862.23, 712,302.48 and 175,188.56

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Solution

The fourth proportional to 474,862.23, 712,302.48 and 175,188.56 is: 262,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,862.23 : 712,302.48 = 175,188.56 : x
  2. Step 2: Convert to fraction form
    474,862.23/712,302.48 = 175,188.56/x
  3. Step 3: Cross multiply
    474,862.23x = 712,302.48 × 175,188.56
  4. Step 4: Simplify right side
    474,862.23x = 124,787,242,194.12
  5. Step 5: Solve for x
    x = 124,787,242,194.12/474,862.23
  6. Step 6: Final answer
    x = 262,786.20

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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.