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Finding the Fourth Proportional to 397,345.70, 596,018.55 and 97,823.90

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Solution

The fourth proportional to 397,345.70, 596,018.55 and 97,823.90 is: 146,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,345.70 : 596,018.55 = 97,823.90 : x
  2. Step 2: Convert to fraction form
    397,345.70/596,018.55 = 97,823.90/x
  3. Step 3: Cross multiply
    397,345.70x = 596,018.55 × 97,823.90
  4. Step 4: Simplify right side
    397,345.70x = 58,304,859,033.35
  5. Step 5: Solve for x
    x = 58,304,859,033.35/397,345.70
  6. Step 6: Final answer
    x = 146,735.85

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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.