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Finding the Fourth Proportional to 459,001, 633,480.78 and 257,797

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Solution

The fourth proportional to 459,001, 633,480.78 and 257,797 is: 355,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,001 : 633,480.78 = 257,797 : x
  2. Step 2: Convert to fraction form
    459,001/633,480.78 = 257,797/x
  3. Step 3: Cross multiply
    459,001x = 633,480.78 × 257,797
  4. Step 4: Simplify right side
    459,001x = 163,309,444,641.66
  5. Step 5: Solve for x
    x = 163,309,444,641.66/459,001
  6. Step 6: Final answer
    x = 355,793.22

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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.