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Finding the Fourth Proportional to 377,880.19, 566,831.22 and 97,397.44

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Solution

The fourth proportional to 377,880.19, 566,831.22 and 97,397.44 is: 146,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,880.19 : 566,831.22 = 97,397.44 : x
  2. Step 2: Convert to fraction form
    377,880.19/566,831.22 = 97,397.44/x
  3. Step 3: Cross multiply
    377,880.19x = 566,831.22 × 97,397.44
  4. Step 4: Simplify right side
    377,880.19x = 55,207,907,957.76
  5. Step 5: Solve for x
    x = 55,207,907,957.76/377,880.19
  6. Step 6: Final answer
    x = 146,098.97

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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.