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Finding the Fourth Proportional to 264,502.90, 396,754.35 and 260,566.30

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Solution

The fourth proportional to 264,502.90, 396,754.35 and 260,566.30 is: 390,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,502.90 : 396,754.35 = 260,566.30 : x
  2. Step 2: Convert to fraction form
    264,502.90/396,754.35 = 260,566.30/x
  3. Step 3: Cross multiply
    264,502.90x = 396,754.35 × 260,566.30
  4. Step 4: Simplify right side
    264,502.90x = 103,380,812,988.41
  5. Step 5: Solve for x
    x = 103,380,812,988.41/264,502.90
  6. Step 6: Final answer
    x = 390,849.45

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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.