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Finding the Fourth Proportional to 497,210.50, 745,815.76 and 164,786.50

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Solution

The fourth proportional to 497,210.50, 745,815.76 and 164,786.50 is: 247,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,210.50 : 745,815.76 = 164,786.50 : x
  2. Step 2: Convert to fraction form
    497,210.50/745,815.76 = 164,786.50/x
  3. Step 3: Cross multiply
    497,210.50x = 745,815.76 × 164,786.50
  4. Step 4: Simplify right side
    497,210.50x = 122,900,368,735.24
  5. Step 5: Solve for x
    x = 122,900,368,735.24/497,210.50
  6. Step 6: Final answer
    x = 247,179.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.