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Finding the Fourth Proportional to 514,926.78, 772,284.58 and 194,968.26

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Solution

The fourth proportional to 514,926.78, 772,284.58 and 194,968.26 is: 292,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,926.78 : 772,284.58 = 194,968.26 : x
  2. Step 2: Convert to fraction form
    514,926.78/772,284.58 = 194,968.26/x
  3. Step 3: Cross multiply
    514,926.78x = 772,284.58 × 194,968.26
  4. Step 4: Simplify right side
    514,926.78x = 150,570,980,787.43
  5. Step 5: Solve for x
    x = 150,570,980,787.43/514,926.78
  6. Step 6: Final answer
    x = 292,412.41

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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.