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Finding the Fourth Proportional to 465,807.60, 642,868.02 and 259,096.86

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Solution

The fourth proportional to 465,807.60, 642,868.02 and 259,096.86 is: 357,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,807.60 : 642,868.02 = 259,096.86 : x
  2. Step 2: Convert to fraction form
    465,807.60/642,868.02 = 259,096.86/x
  3. Step 3: Cross multiply
    465,807.60x = 642,868.02 × 259,096.86
  4. Step 4: Simplify right side
    465,807.60x = 166,565,085,376.42
  5. Step 5: Solve for x
    x = 166,565,085,376.42/465,807.60
  6. Step 6: Final answer
    x = 357,583.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.