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Finding the Fourth Proportional to 364,266.56, 546,399.84 and 114,968

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Solution

The fourth proportional to 364,266.56, 546,399.84 and 114,968 is: 172,452

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,266.56 : 546,399.84 = 114,968 : x
  2. Step 2: Convert to fraction form
    364,266.56/546,399.84 = 114,968/x
  3. Step 3: Cross multiply
    364,266.56x = 546,399.84 × 114,968
  4. Step 4: Simplify right side
    364,266.56x = 62,818,496,805.12
  5. Step 5: Solve for x
    x = 62,818,496,805.12/364,266.56
  6. Step 6: Final answer
    x = 172,452

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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.