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Finding the Fourth Proportional to 569,803.10, 854,389.10 and 233,080.20

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Solution

The fourth proportional to 569,803.10, 854,389.10 and 233,080.20 is: 349,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,803.10 : 854,389.10 = 233,080.20 : x
  2. Step 2: Convert to fraction form
    569,803.10/854,389.10 = 233,080.20/x
  3. Step 3: Cross multiply
    569,803.10x = 854,389.10 × 233,080.20
  4. Step 4: Simplify right side
    569,803.10x = 199,141,181,140.42
  5. Step 5: Solve for x
    x = 199,141,181,140.42/569,803.10
  6. Step 6: Final answer
    x = 349,491.22

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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.