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Finding the Fourth Proportional to 465,941.60, 699,009.60 and 266,098.40

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Solution

The fourth proportional to 465,941.60, 699,009.60 and 266,098.40 is: 399,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,941.60 : 699,009.60 = 266,098.40 : x
  2. Step 2: Convert to fraction form
    465,941.60/699,009.60 = 266,098.40/x
  3. Step 3: Cross multiply
    465,941.60x = 699,009.60 × 266,098.40
  4. Step 4: Simplify right side
    465,941.60x = 186,005,336,144.64
  5. Step 5: Solve for x
    x = 186,005,336,144.64/465,941.60
  6. Step 6: Final answer
    x = 399,203.11

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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.