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Finding the Fourth Proportional to 363,916.51, 502,206.77 and 211,045.33

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Solution

The fourth proportional to 363,916.51, 502,206.77 and 211,045.33 is: 291,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,916.51 : 502,206.77 = 211,045.33 : x
  2. Step 2: Convert to fraction form
    363,916.51/502,206.77 = 211,045.33/x
  3. Step 3: Cross multiply
    363,916.51x = 502,206.77 × 211,045.33
  4. Step 4: Simplify right side
    363,916.51x = 105,988,395,518.06
  5. Step 5: Solve for x
    x = 105,988,395,518.06/363,916.51
  6. Step 6: Final answer
    x = 291,243.71

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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.