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Finding the Fourth Proportional to 658,783.86, 988,234.14 and 185,473.32

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Solution

The fourth proportional to 658,783.86, 988,234.14 and 185,473.32 is: 278,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,783.86 : 988,234.14 = 185,473.32 : x
  2. Step 2: Convert to fraction form
    658,783.86/988,234.14 = 185,473.32/x
  3. Step 3: Cross multiply
    658,783.86x = 988,234.14 × 185,473.32
  4. Step 4: Simplify right side
    658,783.86x = 183,291,066,883.15
  5. Step 5: Solve for x
    x = 183,291,066,883.15/658,783.86
  6. Step 6: Final answer
    x = 278,226.41

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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.