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Finding the Fourth Proportional to 398,198.00, 597,384.38 and 292,697.12

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Solution

The fourth proportional to 398,198.00, 597,384.38 and 292,697.12 is: 439,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,198.00 : 597,384.38 = 292,697.12 : x
  2. Step 2: Convert to fraction form
    398,198.00/597,384.38 = 292,697.12/x
  3. Step 3: Cross multiply
    398,198.00x = 597,384.38 × 292,697.12
  4. Step 4: Simplify right side
    398,198.00x = 174,852,685,303.81
  5. Step 5: Solve for x
    x = 174,852,685,303.81/398,198.00
  6. Step 6: Final answer
    x = 439,109.91

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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.