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Finding the Fourth Proportional to 627,533.76, 866,002.32 and 341,054.58

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Solution

The fourth proportional to 627,533.76, 866,002.32 and 341,054.58 is: 470,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,533.76 : 866,002.32 = 341,054.58 : x
  2. Step 2: Convert to fraction form
    627,533.76/866,002.32 = 341,054.58/x
  3. Step 3: Cross multiply
    627,533.76x = 866,002.32 × 341,054.58
  4. Step 4: Simplify right side
    627,533.76x = 295,354,057,526.63
  5. Step 5: Solve for x
    x = 295,354,057,526.63/627,533.76
  6. Step 6: Final answer
    x = 470,658.44

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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.