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Finding the Fourth Proportional to 293,097.66, 404,656.20 and 224,984.22

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Solution

The fourth proportional to 293,097.66, 404,656.20 and 224,984.22 is: 310,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,097.66 : 404,656.20 = 224,984.22 : x
  2. Step 2: Convert to fraction form
    293,097.66/404,656.20 = 224,984.22/x
  3. Step 3: Cross multiply
    293,097.66x = 404,656.20 × 224,984.22
  4. Step 4: Simplify right side
    293,097.66x = 91,041,259,525.16
  5. Step 5: Solve for x
    x = 91,041,259,525.16/293,097.66
  6. Step 6: Final answer
    x = 310,617.49

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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.