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Finding the Fourth Proportional to 497,533.69, 686,588.88 and 279,742.56

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Solution

The fourth proportional to 497,533.69, 686,588.88 and 279,742.56 is: 386,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,533.69 : 686,588.88 = 279,742.56 : x
  2. Step 2: Convert to fraction form
    497,533.69/686,588.88 = 279,742.56/x
  3. Step 3: Cross multiply
    497,533.69x = 686,588.88 × 279,742.56
  4. Step 4: Simplify right side
    497,533.69x = 192,068,129,433.06
  5. Step 5: Solve for x
    x = 192,068,129,433.06/497,533.69
  6. Step 6: Final answer
    x = 386,040.45

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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.