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Finding the Fourth Proportional to 407,097.27, 561,426.53 and 254,149.63

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Solution

The fourth proportional to 407,097.27, 561,426.53 and 254,149.63 is: 350,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,097.27 : 561,426.53 = 254,149.63 : x
  2. Step 2: Convert to fraction form
    407,097.27/561,426.53 = 254,149.63/x
  3. Step 3: Cross multiply
    407,097.27x = 561,426.53 × 254,149.63
  4. Step 4: Simplify right side
    407,097.27x = 142,686,342,197.37
  5. Step 5: Solve for x
    x = 142,686,342,197.37/407,097.27
  6. Step 6: Final answer
    x = 350,496.93

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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.