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Finding the Fourth Proportional to 406,728.24, 561,289 and 225,444.08

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Solution

The fourth proportional to 406,728.24, 561,289 and 225,444.08 is: 311,115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,728.24 : 561,289 = 225,444.08 : x
  2. Step 2: Convert to fraction form
    406,728.24/561,289 = 225,444.08/x
  3. Step 3: Cross multiply
    406,728.24x = 561,289 × 225,444.08
  4. Step 4: Simplify right side
    406,728.24x = 126,539,282,219.12
  5. Step 5: Solve for x
    x = 126,539,282,219.12/406,728.24
  6. Step 6: Final answer
    x = 311,115.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.