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Finding the Fourth Proportional to 613,123.69, 919,823.93 and 186,697.64

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Solution

The fourth proportional to 613,123.69, 919,823.93 and 186,697.64 is: 280,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,123.69 : 919,823.93 = 186,697.64 : x
  2. Step 2: Convert to fraction form
    613,123.69/919,823.93 = 186,697.64/x
  3. Step 3: Cross multiply
    613,123.69x = 919,823.93 × 186,697.64
  4. Step 4: Simplify right side
    613,123.69x = 171,728,959,712.83
  5. Step 5: Solve for x
    x = 171,728,959,712.83/613,123.69
  6. Step 6: Final answer
    x = 280,088.61

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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.