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Finding the Fourth Proportional to 340,374.30, 510,298.44 and 171,807.85

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Solution

The fourth proportional to 340,374.30, 510,298.44 and 171,807.85 is: 257,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,374.30 : 510,298.44 = 171,807.85 : x
  2. Step 2: Convert to fraction form
    340,374.30/510,298.44 = 171,807.85/x
  3. Step 3: Cross multiply
    340,374.30x = 510,298.44 × 171,807.85
  4. Step 4: Simplify right side
    340,374.30x = 87,673,277,834.75
  5. Step 5: Solve for x
    x = 87,673,277,834.75/340,374.30
  6. Step 6: Final answer
    x = 257,579.02

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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.