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Finding the Fourth Proportional to 456,455.76, 629,696.70 and 295,362.81

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Solution

The fourth proportional to 456,455.76, 629,696.70 and 295,362.81 is: 407,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,455.76 : 629,696.70 = 295,362.81 : x
  2. Step 2: Convert to fraction form
    456,455.76/629,696.70 = 295,362.81/x
  3. Step 3: Cross multiply
    456,455.76x = 629,696.70 × 295,362.81
  4. Step 4: Simplify right side
    456,455.76x = 185,988,986,759.73
  5. Step 5: Solve for x
    x = 185,988,986,759.73/456,455.76
  6. Step 6: Final answer
    x = 407,463.34

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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.