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Finding the Fourth Proportional to 565,080.23, 847,737.09 and 186,023.76

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Solution

The fourth proportional to 565,080.23, 847,737.09 and 186,023.76 is: 279,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,080.23 : 847,737.09 = 186,023.76 : x
  2. Step 2: Convert to fraction form
    565,080.23/847,737.09 = 186,023.76/x
  3. Step 3: Cross multiply
    565,080.23x = 847,737.09 × 186,023.76
  4. Step 4: Simplify right side
    565,080.23x = 157,699,236,269.51
  5. Step 5: Solve for x
    x = 157,699,236,269.51/565,080.23
  6. Step 6: Final answer
    x = 279,074.06

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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.