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Finding the Fourth Proportional to 402,992.10, 605,800.35 and 285,477.30

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Solution

The fourth proportional to 402,992.10, 605,800.35 and 285,477.30 is: 429,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,992.10 : 605,800.35 = 285,477.30 : x
  2. Step 2: Convert to fraction form
    402,992.10/605,800.35 = 285,477.30/x
  3. Step 3: Cross multiply
    402,992.10x = 605,800.35 × 285,477.30
  4. Step 4: Simplify right side
    402,992.10x = 172,942,248,257.06
  5. Step 5: Solve for x
    x = 172,942,248,257.06/402,992.10
  6. Step 6: Final answer
    x = 429,145.50

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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.