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Finding the Fourth Proportional to 565,094.07, 847,647.69 and 165,742.81

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Solution

The fourth proportional to 565,094.07, 847,647.69 and 165,742.81 is: 248,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,094.07 : 847,647.69 = 165,742.81 : x
  2. Step 2: Convert to fraction form
    565,094.07/847,647.69 = 165,742.81/x
  3. Step 3: Cross multiply
    565,094.07x = 847,647.69 × 165,742.81
  4. Step 4: Simplify right side
    565,094.07x = 140,491,507,289.95
  5. Step 5: Solve for x
    x = 140,491,507,289.95/565,094.07
  6. Step 6: Final answer
    x = 248,616.14

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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.