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Finding the Fourth Proportional to 600,952.28, 829,876.02 and 386,464.76

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Solution

The fourth proportional to 600,952.28, 829,876.02 and 386,464.76 is: 533,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,952.28 : 829,876.02 = 386,464.76 : x
  2. Step 2: Convert to fraction form
    600,952.28/829,876.02 = 386,464.76/x
  3. Step 3: Cross multiply
    600,952.28x = 829,876.02 × 386,464.76
  4. Step 4: Simplify right side
    600,952.28x = 320,717,836,899.06
  5. Step 5: Solve for x
    x = 320,717,836,899.06/600,952.28
  6. Step 6: Final answer
    x = 533,682.70

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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.