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Finding the Fourth Proportional to 312,864.96, 431,755.20 and 301,563.84

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Solution

The fourth proportional to 312,864.96, 431,755.20 and 301,563.84 is: 416,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,864.96 : 431,755.20 = 301,563.84 : x
  2. Step 2: Convert to fraction form
    312,864.96/431,755.20 = 301,563.84/x
  3. Step 3: Cross multiply
    312,864.96x = 431,755.20 × 301,563.84
  4. Step 4: Simplify right side
    312,864.96x = 130,201,756,051.97
  5. Step 5: Solve for x
    x = 130,201,756,051.97/312,864.96
  6. Step 6: Final answer
    x = 416,159.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.