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Finding the Fourth Proportional to 445,833.60, 668,831.40 and 146,230.80

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Solution

The fourth proportional to 445,833.60, 668,831.40 and 146,230.80 is: 219,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,833.60 : 668,831.40 = 146,230.80 : x
  2. Step 2: Convert to fraction form
    445,833.60/668,831.40 = 146,230.80/x
  3. Step 3: Cross multiply
    445,833.60x = 668,831.40 × 146,230.80
  4. Step 4: Simplify right side
    445,833.60x = 97,803,750,687.12
  5. Step 5: Solve for x
    x = 97,803,750,687.12/445,833.60
  6. Step 6: Final answer
    x = 219,372.77

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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.