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Finding the Fourth Proportional to 364,271.32, 502,697.28 and 203,136.81

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Solution

The fourth proportional to 364,271.32, 502,697.28 and 203,136.81 is: 280,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,271.32 : 502,697.28 = 203,136.81 : x
  2. Step 2: Convert to fraction form
    364,271.32/502,697.28 = 203,136.81/x
  3. Step 3: Cross multiply
    364,271.32x = 502,697.28 × 203,136.81
  4. Step 4: Simplify right side
    364,271.32x = 102,116,321,854.88
  5. Step 5: Solve for x
    x = 102,116,321,854.88/364,271.32
  6. Step 6: Final answer
    x = 280,330.39

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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.