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Finding the Fourth Proportional to 383,192.96, 528,822.51 and 213,427.07

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Solution

The fourth proportional to 383,192.96, 528,822.51 and 213,427.07 is: 294,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,192.96 : 528,822.51 = 213,427.07 : x
  2. Step 2: Convert to fraction form
    383,192.96/528,822.51 = 213,427.07/x
  3. Step 3: Cross multiply
    383,192.96x = 528,822.51 × 213,427.07
  4. Step 4: Simplify right side
    383,192.96x = 112,865,038,859.35
  5. Step 5: Solve for x
    x = 112,865,038,859.35/383,192.96
  6. Step 6: Final answer
    x = 294,538.39

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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.