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Finding the Fourth Proportional to 407,070.26, 561,389.32 and 254,122.64

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Solution

The fourth proportional to 407,070.26, 561,389.32 and 254,122.64 is: 350,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,070.26 : 561,389.32 = 254,122.64 : x
  2. Step 2: Convert to fraction form
    407,070.26/561,389.32 = 254,122.64/x
  3. Step 3: Cross multiply
    407,070.26x = 561,389.32 × 254,122.64
  4. Step 4: Simplify right side
    407,070.26x = 142,661,731,988.65
  5. Step 5: Solve for x
    x = 142,661,731,988.65/407,070.26
  6. Step 6: Final answer
    x = 350,459.73

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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.