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Finding the Fourth Proportional to 343,271.10, 514,906.65 and 329,274.30

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Solution

The fourth proportional to 343,271.10, 514,906.65 and 329,274.30 is: 493,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,271.10 : 514,906.65 = 329,274.30 : x
  2. Step 2: Convert to fraction form
    343,271.10/514,906.65 = 329,274.30/x
  3. Step 3: Cross multiply
    343,271.10x = 514,906.65 × 329,274.30
  4. Step 4: Simplify right side
    343,271.10x = 169,545,526,744.10
  5. Step 5: Solve for x
    x = 169,545,526,744.10/343,271.10
  6. Step 6: Final answer
    x = 493,911.45

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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.