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Finding the Fourth Proportional to 406,014.93, 560,286.32 and 224,727.21

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Solution

The fourth proportional to 406,014.93, 560,286.32 and 224,727.21 is: 310,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,014.93 : 560,286.32 = 224,727.21 : x
  2. Step 2: Convert to fraction form
    406,014.93/560,286.32 = 224,727.21/x
  3. Step 3: Cross multiply
    406,014.93x = 560,286.32 × 224,727.21
  4. Step 4: Simplify right side
    406,014.93x = 125,911,580,371.13
  5. Step 5: Solve for x
    x = 125,911,580,371.13/406,014.93
  6. Step 6: Final answer
    x = 310,115.64

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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.