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Finding the Fourth Proportional to 277,311.86, 416,013.80 and 97,350.64

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Solution

The fourth proportional to 277,311.86, 416,013.80 and 97,350.64 is: 146,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,311.86 : 416,013.80 = 97,350.64 : x
  2. Step 2: Convert to fraction form
    277,311.86/416,013.80 = 97,350.64/x
  3. Step 3: Cross multiply
    277,311.86x = 416,013.80 × 97,350.64
  4. Step 4: Simplify right side
    277,311.86x = 40,499,209,678.83
  5. Step 5: Solve for x
    x = 40,499,209,678.83/277,311.86
  6. Step 6: Final answer
    x = 146,042.11

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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.