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Finding the Fourth Proportional to 576,739.38, 863,902.71 and 463,808.10

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Solution

The fourth proportional to 576,739.38, 863,902.71 and 463,808.10 is: 694,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,739.38 : 863,902.71 = 463,808.10 : x
  2. Step 2: Convert to fraction form
    576,739.38/863,902.71 = 463,808.10/x
  3. Step 3: Cross multiply
    576,739.38x = 863,902.71 × 463,808.10
  4. Step 4: Simplify right side
    576,739.38x = 400,685,074,509.95
  5. Step 5: Solve for x
    x = 400,685,074,509.95/576,739.38
  6. Step 6: Final answer
    x = 694,742.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.