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Finding the Fourth Proportional to 364,198.96, 502,415.95 and 243,369.98

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Solution

The fourth proportional to 364,198.96, 502,415.95 and 243,369.98 is: 335,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,198.96 : 502,415.95 = 243,369.98 : x
  2. Step 2: Convert to fraction form
    364,198.96/502,415.95 = 243,369.98/x
  3. Step 3: Cross multiply
    364,198.96x = 502,415.95 × 243,369.98
  4. Step 4: Simplify right side
    364,198.96x = 122,272,959,703.18
  5. Step 5: Solve for x
    x = 122,272,959,703.18/364,198.96
  6. Step 6: Final answer
    x = 335,731.22

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1.5x scale

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.