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Finding the Fourth Proportional to 407,203.98, 610,559.88 and 182,522.52

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Solution

The fourth proportional to 407,203.98, 610,559.88 and 182,522.52 is: 273,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,203.98 : 610,559.88 = 182,522.52 : x
  2. Step 2: Convert to fraction form
    407,203.98/610,559.88 = 182,522.52/x
  3. Step 3: Cross multiply
    407,203.98x = 610,559.88 × 182,522.52
  4. Step 4: Simplify right side
    407,203.98x = 111,440,927,908.50
  5. Step 5: Solve for x
    x = 111,440,927,908.50/407,203.98
  6. Step 6: Final answer
    x = 273,673.47

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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.