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Finding the Fourth Proportional to 569,444, 854,681.16 and 303,429.20

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Solution

The fourth proportional to 569,444, 854,681.16 and 303,429.20 is: 455,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,444 : 854,681.16 = 303,429.20 : x
  2. Step 2: Convert to fraction form
    569,444/854,681.16 = 303,429.20/x
  3. Step 3: Cross multiply
    569,444x = 854,681.16 × 303,429.20
  4. Step 4: Simplify right side
    569,444x = 259,335,220,633.87
  5. Step 5: Solve for x
    x = 259,335,220,633.87/569,444
  6. Step 6: Final answer
    x = 455,418.30

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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.