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Finding the Fourth Proportional to 334,266.50, 461,287.86 and 183,363.50

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Solution

The fourth proportional to 334,266.50, 461,287.86 and 183,363.50 is: 253,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,266.50 : 461,287.86 = 183,363.50 : x
  2. Step 2: Convert to fraction form
    334,266.50/461,287.86 = 183,363.50/x
  3. Step 3: Cross multiply
    334,266.50x = 461,287.86 × 183,363.50
  4. Step 4: Simplify right side
    334,266.50x = 84,583,356,517.11
  5. Step 5: Solve for x
    x = 84,583,356,517.11/334,266.50
  6. Step 6: Final answer
    x = 253,041.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.