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Finding the Fourth Proportional to 397,223.13, 596,102.60 and 147,905.13

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Solution

The fourth proportional to 397,223.13, 596,102.60 and 147,905.13 is: 221,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,223.13 : 596,102.60 = 147,905.13 : x
  2. Step 2: Convert to fraction form
    397,223.13/596,102.60 = 147,905.13/x
  3. Step 3: Cross multiply
    397,223.13x = 596,102.60 × 147,905.13
  4. Step 4: Simplify right side
    397,223.13x = 88,166,632,546.34
  5. Step 5: Solve for x
    x = 88,166,632,546.34/397,223.13
  6. Step 6: Final answer
    x = 221,957.45

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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.