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Finding the Fourth Proportional to 389,297.88, 583,765.38 and 202,259.16

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Solution

The fourth proportional to 389,297.88, 583,765.38 and 202,259.16 is: 303,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,297.88 : 583,765.38 = 202,259.16 : x
  2. Step 2: Convert to fraction form
    389,297.88/583,765.38 = 202,259.16/x
  3. Step 3: Cross multiply
    389,297.88x = 583,765.38 × 202,259.16
  4. Step 4: Simplify right side
    389,297.88x = 118,071,895,395.88
  5. Step 5: Solve for x
    x = 118,071,895,395.88/389,297.88
  6. Step 6: Final answer
    x = 303,294.47

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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.