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Finding the Fourth Proportional to 341,121.12, 470,831.56 and 232,405.34

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Solution

The fourth proportional to 341,121.12, 470,831.56 and 232,405.34 is: 320,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,121.12 : 470,831.56 = 232,405.34 : x
  2. Step 2: Convert to fraction form
    341,121.12/470,831.56 = 232,405.34/x
  3. Step 3: Cross multiply
    341,121.12x = 470,831.56 × 232,405.34
  4. Step 4: Simplify right side
    341,121.12x = 109,423,768,784.53
  5. Step 5: Solve for x
    x = 109,423,768,784.53/341,121.12
  6. Step 6: Final answer
    x = 320,776.88

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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.