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Finding the Fourth Proportional to 333,552.94, 499,805.47 and 257,837.01

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Solution

The fourth proportional to 333,552.94, 499,805.47 and 257,837.01 is: 386,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,552.94 : 499,805.47 = 257,837.01 : x
  2. Step 2: Convert to fraction form
    333,552.94/499,805.47 = 257,837.01/x
  3. Step 3: Cross multiply
    333,552.94x = 499,805.47 × 257,837.01
  4. Step 4: Simplify right side
    333,552.94x = 128,868,346,414.47
  5. Step 5: Solve for x
    x = 128,868,346,414.47/333,552.94
  6. Step 6: Final answer
    x = 386,350.51

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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.