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Finding the Fourth Proportional to 364,227.16, 502,607.82 and 203,075.32

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Solution

The fourth proportional to 364,227.16, 502,607.82 and 203,075.32 is: 280,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,227.16 : 502,607.82 = 203,075.32 : x
  2. Step 2: Convert to fraction form
    364,227.16/502,607.82 = 203,075.32/x
  3. Step 3: Cross multiply
    364,227.16x = 502,607.82 × 203,075.32
  4. Step 4: Simplify right side
    364,227.16x = 102,067,243,881.00
  5. Step 5: Solve for x
    x = 102,067,243,881.00/364,227.16
  6. Step 6: Final answer
    x = 280,229.63

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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.