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Finding the Fourth Proportional to 600,066.66, 827,701.81 and 384,865.86

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Solution

The fourth proportional to 600,066.66, 827,701.81 and 384,865.86 is: 530,864.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,066.66 : 827,701.81 = 384,865.86 : x
  2. Step 2: Convert to fraction form
    600,066.66/827,701.81 = 384,865.86/x
  3. Step 3: Cross multiply
    600,066.66x = 827,701.81 × 384,865.86
  4. Step 4: Simplify right side
    600,066.66x = 318,554,167,967.04
  5. Step 5: Solve for x
    x = 318,554,167,967.04/600,066.66
  6. Step 6: Final answer
    x = 530,864.63

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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.