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Finding the Fourth Proportional to 565,021.95, 847,213.98 and 185,840.16

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Solution

The fourth proportional to 565,021.95, 847,213.98 and 185,840.16 is: 278,655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,021.95 : 847,213.98 = 185,840.16 : x
  2. Step 2: Convert to fraction form
    565,021.95/847,213.98 = 185,840.16/x
  3. Step 3: Cross multiply
    565,021.95x = 847,213.98 × 185,840.16
  4. Step 4: Simplify right side
    565,021.95x = 157,446,381,597.44
  5. Step 5: Solve for x
    x = 157,446,381,597.44/565,021.95
  6. Step 6: Final answer
    x = 278,655.34

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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.