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Finding the Fourth Proportional to 664,062.16, 916,403.88 and 362,254

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Solution

The fourth proportional to 664,062.16, 916,403.88 and 362,254 is: 499,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,062.16 : 916,403.88 = 362,254 : x
  2. Step 2: Convert to fraction form
    664,062.16/916,403.88 = 362,254/x
  3. Step 3: Cross multiply
    664,062.16x = 916,403.88 × 362,254
  4. Step 4: Simplify right side
    664,062.16x = 331,970,971,145.52
  5. Step 5: Solve for x
    x = 331,970,971,145.52/664,062.16
  6. Step 6: Final answer
    x = 499,909.48

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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.