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Finding the Fourth Proportional to 507,896.84, 700,903.86 and 293,081.60

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Solution

The fourth proportional to 507,896.84, 700,903.86 and 293,081.60 is: 404,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,896.84 : 700,903.86 = 293,081.60 : x
  2. Step 2: Convert to fraction form
    507,896.84/700,903.86 = 293,081.60/x
  3. Step 3: Cross multiply
    507,896.84x = 700,903.86 × 293,081.60
  4. Step 4: Simplify right side
    507,896.84x = 205,422,024,734.98
  5. Step 5: Solve for x
    x = 205,422,024,734.98/507,896.84
  6. Step 6: Final answer
    x = 404,456.20

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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.