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Finding the Fourth Proportional to 364,461.32, 502,957.38 and 203,312.36

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Solution

The fourth proportional to 364,461.32, 502,957.38 and 203,312.36 is: 280,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,461.32 : 502,957.38 = 203,312.36 : x
  2. Step 2: Convert to fraction form
    364,461.32/502,957.38 = 203,312.36/x
  3. Step 3: Cross multiply
    364,461.32x = 502,957.38 × 203,312.36
  4. Step 4: Simplify right side
    364,461.32x = 102,257,451,907.22
  5. Step 5: Solve for x
    x = 102,257,451,907.22/364,461.32
  6. Step 6: Final answer
    x = 280,571.48

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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.