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Finding the Fourth Proportional to 497,464.26, 686,525.01 and 279,741.45

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Solution

The fourth proportional to 497,464.26, 686,525.01 and 279,741.45 is: 386,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,464.26 : 686,525.01 = 279,741.45 : x
  2. Step 2: Convert to fraction form
    497,464.26/686,525.01 = 279,741.45/x
  3. Step 3: Cross multiply
    497,464.26x = 686,525.01 × 279,741.45
  4. Step 4: Simplify right side
    497,464.26x = 192,049,499,343.00
  5. Step 5: Solve for x
    x = 192,049,499,343.00/497,464.26
  6. Step 6: Final answer
    x = 386,056.88

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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.