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Finding the Fourth Proportional to 507,276.73, 760,891.40 and 207,683.25

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Solution

The fourth proportional to 507,276.73, 760,891.40 and 207,683.25 is: 311,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,276.73 : 760,891.40 = 207,683.25 : x
  2. Step 2: Convert to fraction form
    507,276.73/760,891.40 = 207,683.25/x
  3. Step 3: Cross multiply
    507,276.73x = 760,891.40 × 207,683.25
  4. Step 4: Simplify right side
    507,276.73x = 158,024,398,849.05
  5. Step 5: Solve for x
    x = 158,024,398,849.05/507,276.73
  6. Step 6: Final answer
    x = 311,515.17

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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.