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Finding the Fourth Proportional to 343,268.60, 514,902.90 and 329,271.80

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Solution

The fourth proportional to 343,268.60, 514,902.90 and 329,271.80 is: 493,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,268.60 : 514,902.90 = 329,271.80 : x
  2. Step 2: Convert to fraction form
    343,268.60/514,902.90 = 329,271.80/x
  3. Step 3: Cross multiply
    343,268.60x = 514,902.90 × 329,271.80
  4. Step 4: Simplify right side
    343,268.60x = 169,543,004,708.22
  5. Step 5: Solve for x
    x = 169,543,004,708.22/343,268.60
  6. Step 6: Final answer
    x = 493,907.70

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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.