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Finding the Fourth Proportional to 395,807.40, 593,711.10 and 146,586.60

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Solution

The fourth proportional to 395,807.40, 593,711.10 and 146,586.60 is: 219,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,807.40 : 593,711.10 = 146,586.60 : x
  2. Step 2: Convert to fraction form
    395,807.40/593,711.10 = 146,586.60/x
  3. Step 3: Cross multiply
    395,807.40x = 593,711.10 × 146,586.60
  4. Step 4: Simplify right side
    395,807.40x = 87,030,091,531.26
  5. Step 5: Solve for x
    x = 87,030,091,531.26/395,807.40
  6. Step 6: Final answer
    x = 219,879.90

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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.