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Finding the Fourth Proportional to 314,737.18, 472,245.34 and 164,941.86

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Solution

The fourth proportional to 314,737.18, 472,245.34 and 164,941.86 is: 247,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,737.18 : 472,245.34 = 164,941.86 : x
  2. Step 2: Convert to fraction form
    314,737.18/472,245.34 = 164,941.86/x
  3. Step 3: Cross multiply
    314,737.18x = 472,245.34 × 164,941.86
  4. Step 4: Simplify right side
    314,737.18x = 77,893,024,755.93
  5. Step 5: Solve for x
    x = 77,893,024,755.93/314,737.18
  6. Step 6: Final answer
    x = 247,485.93

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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.