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Finding the Fourth Proportional to 406,729.92, 561,097.44 and 255,910.08

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Solution

The fourth proportional to 406,729.92, 561,097.44 and 255,910.08 is: 353,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,729.92 : 561,097.44 = 255,910.08 : x
  2. Step 2: Convert to fraction form
    406,729.92/561,097.44 = 255,910.08/x
  3. Step 3: Cross multiply
    406,729.92x = 561,097.44 × 255,910.08
  4. Step 4: Simplify right side
    406,729.92x = 143,590,490,758.20
  5. Step 5: Solve for x
    x = 143,590,490,758.20/406,729.92
  6. Step 6: Final answer
    x = 353,036.46

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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.