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Finding the Fourth Proportional to 584,092.36, 876,246.54 and 184,833.64

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Solution

The fourth proportional to 584,092.36, 876,246.54 and 184,833.64 is: 277,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,092.36 : 876,246.54 = 184,833.64 : x
  2. Step 2: Convert to fraction form
    584,092.36/876,246.54 = 184,833.64/x
  3. Step 3: Cross multiply
    584,092.36x = 876,246.54 × 184,833.64
  4. Step 4: Simplify right side
    584,092.36x = 161,959,837,525.61
  5. Step 5: Solve for x
    x = 161,959,837,525.61/584,092.36
  6. Step 6: Final answer
    x = 277,284.64

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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.