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Finding the Fourth Proportional to 380,411.23, 525,514.30 and 303,829.78

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Solution

The fourth proportional to 380,411.23, 525,514.30 and 303,829.78 is: 419,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,411.23 : 525,514.30 = 303,829.78 : x
  2. Step 2: Convert to fraction form
    380,411.23/525,514.30 = 303,829.78/x
  3. Step 3: Cross multiply
    380,411.23x = 525,514.30 × 303,829.78
  4. Step 4: Simplify right side
    380,411.23x = 159,666,894,155.85
  5. Step 5: Solve for x
    x = 159,666,894,155.85/380,411.23
  6. Step 6: Final answer
    x = 419,721.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.