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Finding the Fourth Proportional to 468,035.80, 702,356.10 and 257,824.60

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Solution

The fourth proportional to 468,035.80, 702,356.10 and 257,824.60 is: 386,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,035.80 : 702,356.10 = 257,824.60 : x
  2. Step 2: Convert to fraction form
    468,035.80/702,356.10 = 257,824.60/x
  3. Step 3: Cross multiply
    468,035.80x = 702,356.10 × 257,824.60
  4. Step 4: Simplify right side
    468,035.80x = 181,084,680,540.06
  5. Step 5: Solve for x
    x = 181,084,680,540.06/468,035.80
  6. Step 6: Final answer
    x = 386,903.48

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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.