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Finding the Fourth Proportional to 364,406.40, 502,881.36 and 203,271.84

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Solution

The fourth proportional to 364,406.40, 502,881.36 and 203,271.84 is: 280,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,406.40 : 502,881.36 = 203,271.84 : x
  2. Step 2: Convert to fraction form
    364,406.40/502,881.36 = 203,271.84/x
  3. Step 3: Cross multiply
    364,406.40x = 502,881.36 × 203,271.84
  4. Step 4: Simplify right side
    364,406.40x = 102,221,619,348.90
  5. Step 5: Solve for x
    x = 102,221,619,348.90/364,406.40
  6. Step 6: Final answer
    x = 280,515.43

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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.