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Finding the Fourth Proportional to 314,827.68, 434,472.37 and 178,859.15

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Solution

The fourth proportional to 314,827.68, 434,472.37 and 178,859.15 is: 246,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,827.68 : 434,472.37 = 178,859.15 : x
  2. Step 2: Convert to fraction form
    314,827.68/434,472.37 = 178,859.15/x
  3. Step 3: Cross multiply
    314,827.68x = 434,472.37 × 178,859.15
  4. Step 4: Simplify right side
    314,827.68x = 77,709,357,902.39
  5. Step 5: Solve for x
    x = 77,709,357,902.39/314,827.68
  6. Step 6: Final answer
    x = 246,831.41

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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.