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Finding the Fourth Proportional to 380,731.86, 525,465 and 219,554.82

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Solution

The fourth proportional to 380,731.86, 525,465 and 219,554.82 is: 303,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,731.86 : 525,465 = 219,554.82 : x
  2. Step 2: Convert to fraction form
    380,731.86/525,465 = 219,554.82/x
  3. Step 3: Cross multiply
    380,731.86x = 525,465 × 219,554.82
  4. Step 4: Simplify right side
    380,731.86x = 115,368,373,491.30
  5. Step 5: Solve for x
    x = 115,368,373,491.30/380,731.86
  6. Step 6: Final answer
    x = 303,017.39

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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.