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Finding the Fourth Proportional to 364,470.68, 502,977.12 and 203,332.52

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Solution

The fourth proportional to 364,470.68, 502,977.12 and 203,332.52 is: 280,603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,470.68 : 502,977.12 = 203,332.52 : x
  2. Step 2: Convert to fraction form
    364,470.68/502,977.12 = 203,332.52/x
  3. Step 3: Cross multiply
    364,470.68x = 502,977.12 × 203,332.52
  4. Step 4: Simplify right side
    364,470.68x = 102,271,605,311.94
  5. Step 5: Solve for x
    x = 102,271,605,311.94/364,470.68
  6. Step 6: Final answer
    x = 280,603.11

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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.