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Finding the Fourth Proportional to 1,102,473, 1,653,709.50 and 354,519

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Solution

The fourth proportional to 1,102,473, 1,653,709.50 and 354,519 is: 531,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,473 : 1,653,709.50 = 354,519 : x
  2. Step 2: Convert to fraction form
    1,102,473/1,653,709.50 = 354,519/x
  3. Step 3: Cross multiply
    1,102,473x = 1,653,709.50 × 354,519
  4. Step 4: Simplify right side
    1,102,473x = 586,271,438,230.50
  5. Step 5: Solve for x
    x = 586,271,438,230.50/1,102,473
  6. Step 6: Final answer
    x = 531,778.50

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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.