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Finding the Fourth Proportional to 407,314.35, 610,774.20 and 238,889.82

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Solution

The fourth proportional to 407,314.35, 610,774.20 and 238,889.82 is: 358,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,314.35 : 610,774.20 = 238,889.82 : x
  2. Step 2: Convert to fraction form
    407,314.35/610,774.20 = 238,889.82/x
  3. Step 3: Cross multiply
    407,314.35x = 610,774.20 × 238,889.82
  4. Step 4: Simplify right side
    407,314.35x = 145,907,738,698.64
  5. Step 5: Solve for x
    x = 145,907,738,698.64/407,314.35
  6. Step 6: Final answer
    x = 358,219.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.