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Finding the Fourth Proportional to 569,546.51, 854,056.80 and 209,626.96

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Solution

The fourth proportional to 569,546.51, 854,056.80 and 209,626.96 is: 314,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,546.51 : 854,056.80 = 209,626.96 : x
  2. Step 2: Convert to fraction form
    569,546.51/854,056.80 = 209,626.96/x
  3. Step 3: Cross multiply
    569,546.51x = 854,056.80 × 209,626.96
  4. Step 4: Simplify right side
    569,546.51x = 179,033,326,381.04
  5. Step 5: Solve for x
    x = 179,033,326,381.04/569,546.51
  6. Step 6: Final answer
    x = 314,343.65

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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.