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Finding the Fourth Proportional to 393,296.60, 589,070.10 and 323,312.60

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Solution

The fourth proportional to 393,296.60, 589,070.10 and 323,312.60 is: 484,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,296.60 : 589,070.10 = 323,312.60 : x
  2. Step 2: Convert to fraction form
    393,296.60/589,070.10 = 323,312.60/x
  3. Step 3: Cross multiply
    393,296.60x = 589,070.10 × 323,312.60
  4. Step 4: Simplify right side
    393,296.60x = 190,453,785,613.26
  5. Step 5: Solve for x
    x = 190,453,785,613.26/393,296.60
  6. Step 6: Final answer
    x = 484,249.76

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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.