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Finding the Fourth Proportional to 393,093.47, 589,933.13 and 292,124.14

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Solution

The fourth proportional to 393,093.47, 589,933.13 and 292,124.14 is: 438,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,093.47 : 589,933.13 = 292,124.14 : x
  2. Step 2: Convert to fraction form
    393,093.47/589,933.13 = 292,124.14/x
  3. Step 3: Cross multiply
    393,093.47x = 589,933.13 × 292,124.14
  4. Step 4: Simplify right side
    393,093.47x = 172,333,705,323.31
  5. Step 5: Solve for x
    x = 172,333,705,323.31/393,093.47
  6. Step 6: Final answer
    x = 438,403.88

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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.