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Finding the Fourth Proportional to 665,145.40, 997,718.10 and 265,847.80

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Solution

The fourth proportional to 665,145.40, 997,718.10 and 265,847.80 is: 398,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,145.40 : 997,718.10 = 265,847.80 : x
  2. Step 2: Convert to fraction form
    665,145.40/997,718.10 = 265,847.80/x
  3. Step 3: Cross multiply
    665,145.40x = 997,718.10 × 265,847.80
  4. Step 4: Simplify right side
    665,145.40x = 265,241,161,905.18
  5. Step 5: Solve for x
    x = 265,241,161,905.18/665,145.40
  6. Step 6: Final answer
    x = 398,771.70

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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.