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Finding the Fourth Proportional to 476,415.36, 714,919.32 and 296,853.30

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Solution

The fourth proportional to 476,415.36, 714,919.32 and 296,853.30 is: 445,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,415.36 : 714,919.32 = 296,853.30 : x
  2. Step 2: Convert to fraction form
    476,415.36/714,919.32 = 296,853.30/x
  3. Step 3: Cross multiply
    476,415.36x = 714,919.32 × 296,853.30
  4. Step 4: Simplify right side
    476,415.36x = 212,226,159,375.76
  5. Step 5: Solve for x
    x = 212,226,159,375.76/476,415.36
  6. Step 6: Final answer
    x = 445,464.56

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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.