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Finding the Fourth Proportional to 230,831.80, 346,506.90 and 178,473.40

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Solution

The fourth proportional to 230,831.80, 346,506.90 and 178,473.40 is: 267,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,831.80 : 346,506.90 = 178,473.40 : x
  2. Step 2: Convert to fraction form
    230,831.80/346,506.90 = 178,473.40/x
  3. Step 3: Cross multiply
    230,831.80x = 346,506.90 × 178,473.40
  4. Step 4: Simplify right side
    230,831.80x = 61,842,264,566.46
  5. Step 5: Solve for x
    x = 61,842,264,566.46/230,831.80
  6. Step 6: Final answer
    x = 267,910.51

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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.