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Finding the Fourth Proportional to 463,856.40, 695,266.20 and 264,272.40

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Solution

The fourth proportional to 463,856.40, 695,266.20 and 264,272.40 is: 396,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,856.40 : 695,266.20 = 264,272.40 : x
  2. Step 2: Convert to fraction form
    463,856.40/695,266.20 = 264,272.40/x
  3. Step 3: Cross multiply
    463,856.40x = 695,266.20 × 264,272.40
  4. Step 4: Simplify right side
    463,856.40x = 183,739,667,312.88
  5. Step 5: Solve for x
    x = 183,739,667,312.88/463,856.40
  6. Step 6: Final answer
    x = 396,113.25

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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.