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Finding the Fourth Proportional to 788,470.80, 1,182,997.80 and 256,009.20

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Solution

The fourth proportional to 788,470.80, 1,182,997.80 and 256,009.20 is: 384,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,470.80 : 1,182,997.80 = 256,009.20 : x
  2. Step 2: Convert to fraction form
    788,470.80/1,182,997.80 = 256,009.20/x
  3. Step 3: Cross multiply
    788,470.80x = 1,182,997.80 × 256,009.20
  4. Step 4: Simplify right side
    788,470.80x = 302,858,320,379.76
  5. Step 5: Solve for x
    x = 302,858,320,379.76/788,470.80
  6. Step 6: Final answer
    x = 384,108.48

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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.