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Finding the Fourth Proportional to 397,383.34, 596,076.22 and 97,870.98

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Solution

The fourth proportional to 397,383.34, 596,076.22 and 97,870.98 is: 146,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,383.34 : 596,076.22 = 97,870.98 : x
  2. Step 2: Convert to fraction form
    397,383.34/596,076.22 = 97,870.98/x
  3. Step 3: Cross multiply
    397,383.34x = 596,076.22 × 97,870.98
  4. Step 4: Simplify right side
    397,383.34x = 58,338,563,806.10
  5. Step 5: Solve for x
    x = 58,338,563,806.10/397,383.34
  6. Step 6: Final answer
    x = 146,806.77

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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.