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Finding the Fourth Proportional to 456,013.76, 629,297.44 and 254,809.76

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Solution

The fourth proportional to 456,013.76, 629,297.44 and 254,809.76 is: 351,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,013.76 : 629,297.44 = 254,809.76 : x
  2. Step 2: Convert to fraction form
    456,013.76/629,297.44 = 254,809.76/x
  3. Step 3: Cross multiply
    456,013.76x = 629,297.44 × 254,809.76
  4. Step 4: Simplify right side
    456,013.76x = 160,351,129,655.01
  5. Step 5: Solve for x
    x = 160,351,129,655.01/456,013.76
  6. Step 6: Final answer
    x = 351,636.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.