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Finding the Fourth Proportional to 474,496.53, 711,753.03 and 174,822.86

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Solution

The fourth proportional to 474,496.53, 711,753.03 and 174,822.86 is: 262,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,496.53 : 711,753.03 = 174,822.86 : x
  2. Step 2: Convert to fraction form
    474,496.53/711,753.03 = 174,822.86/x
  3. Step 3: Cross multiply
    474,496.53x = 711,753.03 × 174,822.86
  4. Step 4: Simplify right side
    474,496.53x = 124,430,696,759.50
  5. Step 5: Solve for x
    x = 124,430,696,759.50/474,496.53
  6. Step 6: Final answer
    x = 262,237.32

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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.