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Finding the Fourth Proportional to 341,665.80, 512,498.70 and 322,312.20

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Solution

The fourth proportional to 341,665.80, 512,498.70 and 322,312.20 is: 483,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,665.80 : 512,498.70 = 322,312.20 : x
  2. Step 2: Convert to fraction form
    341,665.80/512,498.70 = 322,312.20/x
  3. Step 3: Cross multiply
    341,665.80x = 512,498.70 × 322,312.20
  4. Step 4: Simplify right side
    341,665.80x = 165,184,583,494.14
  5. Step 5: Solve for x
    x = 165,184,583,494.14/341,665.80
  6. Step 6: Final answer
    x = 483,468.30

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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.