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Finding the Fourth Proportional to 386,405.99, 533,056.65 and 257,404.43

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Solution

The fourth proportional to 386,405.99, 533,056.65 and 257,404.43 is: 355,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,405.99 : 533,056.65 = 257,404.43 : x
  2. Step 2: Convert to fraction form
    386,405.99/533,056.65 = 257,404.43/x
  3. Step 3: Cross multiply
    386,405.99x = 533,056.65 × 257,404.43
  4. Step 4: Simplify right side
    386,405.99x = 137,211,143,518.34
  5. Step 5: Solve for x
    x = 137,211,143,518.34/386,405.99
  6. Step 6: Final answer
    x = 355,095.79

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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.