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Finding the Fourth Proportional to 397,340.48, 596,005.68 and 97,824.80

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Solution

The fourth proportional to 397,340.48, 596,005.68 and 97,824.80 is: 146,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,340.48 : 596,005.68 = 97,824.80 : x
  2. Step 2: Convert to fraction form
    397,340.48/596,005.68 = 97,824.80/x
  3. Step 3: Cross multiply
    397,340.48x = 596,005.68 × 97,824.80
  4. Step 4: Simplify right side
    397,340.48x = 58,304,136,444.86
  5. Step 5: Solve for x
    x = 58,304,136,444.86/397,340.48
  6. Step 6: Final answer
    x = 146,735.96

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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.