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Finding the Fourth Proportional to 569,546.01, 854,056.05 and 209,626.47

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Solution

The fourth proportional to 569,546.01, 854,056.05 and 209,626.47 is: 314,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,546.01 : 854,056.05 = 209,626.47 : x
  2. Step 2: Convert to fraction form
    569,546.01/854,056.05 = 209,626.47/x
  3. Step 3: Cross multiply
    569,546.01x = 854,056.05 × 209,626.47
  4. Step 4: Simplify right side
    569,546.01x = 179,032,754,943.64
  5. Step 5: Solve for x
    x = 179,032,754,943.64/569,546.01
  6. Step 6: Final answer
    x = 314,342.92

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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.