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Finding the Fourth Proportional to 463,899.40, 695,330.70 and 264,315.40

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Solution

The fourth proportional to 463,899.40, 695,330.70 and 264,315.40 is: 396,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,899.40 : 695,330.70 = 264,315.40 : x
  2. Step 2: Convert to fraction form
    463,899.40/695,330.70 = 264,315.40/x
  3. Step 3: Cross multiply
    463,899.40x = 695,330.70 × 264,315.40
  4. Step 4: Simplify right side
    463,899.40x = 183,786,612,102.78
  5. Step 5: Solve for x
    x = 183,786,612,102.78/463,899.40
  6. Step 6: Final answer
    x = 396,177.73

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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.