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Finding the Fourth Proportional to 397,323.48, 595,980.18 and 97,807.80

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Solution

The fourth proportional to 397,323.48, 595,980.18 and 97,807.80 is: 146,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,323.48 : 595,980.18 = 97,807.80 : x
  2. Step 2: Convert to fraction form
    397,323.48/595,980.18 = 97,807.80/x
  3. Step 3: Cross multiply
    397,323.48x = 595,980.18 × 97,807.80
  4. Step 4: Simplify right side
    397,323.48x = 58,291,510,249.40
  5. Step 5: Solve for x
    x = 58,291,510,249.40/397,323.48
  6. Step 6: Final answer
    x = 146,710.46

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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.