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Finding the Fourth Proportional to 389,415.30, 583,138.80 and 310,683.30

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Solution

The fourth proportional to 389,415.30, 583,138.80 and 310,683.30 is: 465,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,415.30 : 583,138.80 = 310,683.30 : x
  2. Step 2: Convert to fraction form
    389,415.30/583,138.80 = 310,683.30/x
  3. Step 3: Cross multiply
    389,415.30x = 583,138.80 × 310,683.30
  4. Step 4: Simplify right side
    389,415.30x = 181,171,486,742.04
  5. Step 5: Solve for x
    x = 181,171,486,742.04/389,415.30
  6. Step 6: Final answer
    x = 465,239.78

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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.