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Finding the Fourth Proportional to 264,077.40, 396,232.74 and 106,613.40

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Solution

The fourth proportional to 264,077.40, 396,232.74 and 106,613.40 is: 159,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,077.40 : 396,232.74 = 106,613.40 : x
  2. Step 2: Convert to fraction form
    264,077.40/396,232.74 = 106,613.40/x
  3. Step 3: Cross multiply
    264,077.40x = 396,232.74 × 106,613.40
  4. Step 4: Simplify right side
    264,077.40x = 42,243,719,602.72
  5. Step 5: Solve for x
    x = 42,243,719,602.72/264,077.40
  6. Step 6: Final answer
    x = 159,967.19

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1.5x scale

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.