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Finding the Fourth Proportional to 492,462, 738,764.28 and 155,388.24

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Solution

The fourth proportional to 492,462, 738,764.28 and 155,388.24 is: 233,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,462 : 738,764.28 = 155,388.24 : x
  2. Step 2: Convert to fraction form
    492,462/738,764.28 = 155,388.24/x
  3. Step 3: Cross multiply
    492,462x = 738,764.28 × 155,388.24
  4. Step 4: Simplify right side
    492,462x = 114,795,281,244.07
  5. Step 5: Solve for x
    x = 114,795,281,244.07/492,462
  6. Step 6: Final answer
    x = 233,104.85

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1.5x scale

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.