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Finding the Fourth Proportional to 426,771.42, 640,252.38 and 160,534.14

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Solution

The fourth proportional to 426,771.42, 640,252.38 and 160,534.14 is: 240,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,771.42 : 640,252.38 = 160,534.14 : x
  2. Step 2: Convert to fraction form
    426,771.42/640,252.38 = 160,534.14/x
  3. Step 3: Cross multiply
    426,771.42x = 640,252.38 × 160,534.14
  4. Step 4: Simplify right side
    426,771.42x = 102,782,365,206.25
  5. Step 5: Solve for x
    x = 102,782,365,206.25/426,771.42
  6. Step 6: Final answer
    x = 240,837.04

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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.