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Finding the Fourth Proportional to 406,771.92, 561,155.40 and 255,952.08

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Solution

The fourth proportional to 406,771.92, 561,155.40 and 255,952.08 is: 353,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,771.92 : 561,155.40 = 255,952.08 : x
  2. Step 2: Convert to fraction form
    406,771.92/561,155.40 = 255,952.08/x
  3. Step 3: Cross multiply
    406,771.92x = 561,155.40 × 255,952.08
  4. Step 4: Simplify right side
    406,771.92x = 143,628,891,833.23
  5. Step 5: Solve for x
    x = 143,628,891,833.23/406,771.92
  6. Step 6: Final answer
    x = 353,094.41

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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.