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Finding the Fourth Proportional to 456,449.51, 629,688.06 and 295,356.56

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Solution

The fourth proportional to 456,449.51, 629,688.06 and 295,356.56 is: 407,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,449.51 : 629,688.06 = 295,356.56 : x
  2. Step 2: Convert to fraction form
    456,449.51/629,688.06 = 295,356.56/x
  3. Step 3: Cross multiply
    456,449.51x = 629,688.06 × 295,356.56
  4. Step 4: Simplify right side
    456,449.51x = 185,982,499,274.67
  5. Step 5: Solve for x
    x = 185,982,499,274.67/456,449.51
  6. Step 6: Final answer
    x = 407,454.70

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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.