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Finding the Fourth Proportional to 394,765, 592,152.54 and 114,282.52

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Solution

The fourth proportional to 394,765, 592,152.54 and 114,282.52 is: 171,425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,765 : 592,152.54 = 114,282.52 : x
  2. Step 2: Convert to fraction form
    394,765/592,152.54 = 114,282.52/x
  3. Step 3: Cross multiply
    394,765x = 592,152.54 × 114,282.52
  4. Step 4: Simplify right side
    394,765x = 67,672,684,495.60
  5. Step 5: Solve for x
    x = 67,672,684,495.60/394,765
  6. Step 6: Final answer
    x = 171,425.24

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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.