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Finding the Fourth Proportional to 364,329.45, 502,572.47 and 213,397.29

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Solution

The fourth proportional to 364,329.45, 502,572.47 and 213,397.29 is: 294,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,329.45 : 502,572.47 = 213,397.29 : x
  2. Step 2: Convert to fraction form
    364,329.45/502,572.47 = 213,397.29/x
  3. Step 3: Cross multiply
    364,329.45x = 502,572.47 × 213,397.29
  4. Step 4: Simplify right side
    364,329.45x = 107,247,602,059.62
  5. Step 5: Solve for x
    x = 107,247,602,059.62/364,329.45
  6. Step 6: Final answer
    x = 294,369.84

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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.