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Finding the Fourth Proportional to 382,862.69, 528,350.51 and 213,093.17

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Solution

The fourth proportional to 382,862.69, 528,350.51 and 213,093.17 is: 294,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,862.69 : 528,350.51 = 213,093.17 : x
  2. Step 2: Convert to fraction form
    382,862.69/528,350.51 = 213,093.17/x
  3. Step 3: Cross multiply
    382,862.69x = 528,350.51 × 213,093.17
  4. Step 4: Simplify right side
    382,862.69x = 112,587,885,047.02
  5. Step 5: Solve for x
    x = 112,587,885,047.02/382,862.69
  6. Step 6: Final answer
    x = 294,068.57

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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.