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Finding the Fourth Proportional to 665,215.30, 997,952.55 and 265,788.10

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Solution

The fourth proportional to 665,215.30, 997,952.55 and 265,788.10 is: 398,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,215.30 : 997,952.55 = 265,788.10 : x
  2. Step 2: Convert to fraction form
    665,215.30/997,952.55 = 265,788.10/x
  3. Step 3: Cross multiply
    665,215.30x = 997,952.55 × 265,788.10
  4. Step 4: Simplify right side
    665,215.30x = 265,243,912,154.66
  5. Step 5: Solve for x
    x = 265,243,912,154.66/665,215.30
  6. Step 6: Final answer
    x = 398,733.93

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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.