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Finding the Fourth Proportional to 431,161.58, 647,314.64 and 368,385.11

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Solution

The fourth proportional to 431,161.58, 647,314.64 and 368,385.11 is: 553,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,161.58 : 647,314.64 = 368,385.11 : x
  2. Step 2: Convert to fraction form
    431,161.58/647,314.64 = 368,385.11/x
  3. Step 3: Cross multiply
    431,161.58x = 647,314.64 × 368,385.11
  4. Step 4: Simplify right side
    431,161.58x = 238,461,077,232.53
  5. Step 5: Solve for x
    x = 238,461,077,232.53/431,161.58
  6. Step 6: Final answer
    x = 553,066.62

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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.