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Finding the Fourth Proportional to 431,807.86, 596,359.61 and 328,733.74

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Solution

The fourth proportional to 431,807.86, 596,359.61 and 328,733.74 is: 454,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,807.86 : 596,359.61 = 328,733.74 : x
  2. Step 2: Convert to fraction form
    431,807.86/596,359.61 = 328,733.74/x
  3. Step 3: Cross multiply
    431,807.86x = 596,359.61 × 328,733.74
  4. Step 4: Simplify right side
    431,807.86x = 196,043,524,980.24
  5. Step 5: Solve for x
    x = 196,043,524,980.24/431,807.86
  6. Step 6: Final answer
    x = 454,006.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.