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Finding the Fourth Proportional to 476,107.33, 714,361.33 and 296,343.10

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Solution

The fourth proportional to 476,107.33, 714,361.33 and 296,343.10 is: 444,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,107.33 : 714,361.33 = 296,343.10 : x
  2. Step 2: Convert to fraction form
    476,107.33/714,361.33 = 296,343.10/x
  3. Step 3: Cross multiply
    476,107.33x = 714,361.33 × 296,343.10
  4. Step 4: Simplify right side
    476,107.33x = 211,696,052,889.16
  5. Step 5: Solve for x
    x = 211,696,052,889.16/476,107.33
  6. Step 6: Final answer
    x = 444,639.35

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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.