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Finding the Fourth Proportional to 565,420.83, 848,236.34 and 186,368.16

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Solution

The fourth proportional to 565,420.83, 848,236.34 and 186,368.16 is: 279,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,420.83 : 848,236.34 = 186,368.16 : x
  2. Step 2: Convert to fraction form
    565,420.83/848,236.34 = 186,368.16/x
  3. Step 3: Cross multiply
    565,420.83x = 848,236.34 × 186,368.16
  4. Step 4: Simplify right side
    565,420.83x = 158,084,245,930.93
  5. Step 5: Solve for x
    x = 158,084,245,930.93/565,420.83
  6. Step 6: Final answer
    x = 279,586.88

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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.