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Finding the Fourth Proportional to 497,231.60, 745,768.20 and 164,807.60

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Solution

The fourth proportional to 497,231.60, 745,768.20 and 164,807.60 is: 247,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,231.60 : 745,768.20 = 164,807.60 : x
  2. Step 2: Convert to fraction form
    497,231.60/745,768.20 = 164,807.60/x
  3. Step 3: Cross multiply
    497,231.60x = 745,768.20 × 164,807.60
  4. Step 4: Simplify right side
    497,231.60x = 122,908,267,198.32
  5. Step 5: Solve for x
    x = 122,908,267,198.32/497,231.60
  6. Step 6: Final answer
    x = 247,185.15

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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.