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Finding the Fourth Proportional to 420,624.36, 580,272.12 and 259,486.20

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Solution

The fourth proportional to 420,624.36, 580,272.12 and 259,486.20 is: 357,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,624.36 : 580,272.12 = 259,486.20 : x
  2. Step 2: Convert to fraction form
    420,624.36/580,272.12 = 259,486.20/x
  3. Step 3: Cross multiply
    420,624.36x = 580,272.12 × 259,486.20
  4. Step 4: Simplify right side
    420,624.36x = 150,572,607,384.74
  5. Step 5: Solve for x
    x = 150,572,607,384.74/420,624.36
  6. Step 6: Final answer
    x = 357,974.05

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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.