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Finding the Fourth Proportional to 569,301.16, 854,043.90 and 175,225

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Solution

The fourth proportional to 569,301.16, 854,043.90 and 175,225 is: 262,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,301.16 : 854,043.90 = 175,225 : x
  2. Step 2: Convert to fraction form
    569,301.16/854,043.90 = 175,225/x
  3. Step 3: Cross multiply
    569,301.16x = 854,043.90 × 175,225
  4. Step 4: Simplify right side
    569,301.16x = 149,649,842,377.50
  5. Step 5: Solve for x
    x = 149,649,842,377.50/569,301.16
  6. Step 6: Final answer
    x = 262,865.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.