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Finding the Fourth Proportional to 397,380.33, 596,071.71 and 97,867.98

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Solution

The fourth proportional to 397,380.33, 596,071.71 and 97,867.98 is: 146,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,380.33 : 596,071.71 = 97,867.98 : x
  2. Step 2: Convert to fraction form
    397,380.33/596,071.71 = 97,867.98/x
  3. Step 3: Cross multiply
    397,380.33x = 596,071.71 × 97,867.98
  4. Step 4: Simplify right side
    397,380.33x = 58,336,334,192.85
  5. Step 5: Solve for x
    x = 58,336,334,192.85/397,380.33
  6. Step 6: Final answer
    x = 146,802.27

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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.