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Finding the Fourth Proportional to 492,647.87, 738,643.76 and 177,063.77

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Solution

The fourth proportional to 492,647.87, 738,643.76 and 177,063.77 is: 265,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,647.87 : 738,643.76 = 177,063.77 : x
  2. Step 2: Convert to fraction form
    492,647.87/738,643.76 = 177,063.77/x
  3. Step 3: Cross multiply
    492,647.87x = 738,643.76 × 177,063.77
  4. Step 4: Simplify right side
    492,647.87x = 130,787,050,457.86
  5. Step 5: Solve for x
    x = 130,787,050,457.86/492,647.87
  6. Step 6: Final answer
    x = 265,477.75

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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.