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Finding the Fourth Proportional to 405,920.90, 609,054.15 and 256,276.10

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Solution

The fourth proportional to 405,920.90, 609,054.15 and 256,276.10 is: 384,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,920.90 : 609,054.15 = 256,276.10 : x
  2. Step 2: Convert to fraction form
    405,920.90/609,054.15 = 256,276.10/x
  3. Step 3: Cross multiply
    405,920.90x = 609,054.15 × 256,276.10
  4. Step 4: Simplify right side
    405,920.90x = 156,086,022,250.82
  5. Step 5: Solve for x
    x = 156,086,022,250.82/405,920.90
  6. Step 6: Final answer
    x = 384,523.25

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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.