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Finding the Fourth Proportional to 407,423.90, 561,905.84 and 305,675.14

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Solution

The fourth proportional to 407,423.90, 561,905.84 and 305,675.14 is: 421,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,423.90 : 561,905.84 = 305,675.14 : x
  2. Step 2: Convert to fraction form
    407,423.90/561,905.84 = 305,675.14/x
  3. Step 3: Cross multiply
    407,423.90x = 561,905.84 × 305,675.14
  4. Step 4: Simplify right side
    407,423.90x = 171,760,646,308.82
  5. Step 5: Solve for x
    x = 171,760,646,308.82/407,423.90
  6. Step 6: Final answer
    x = 421,577.25

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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.