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Finding the Fourth Proportional to 380,720.34, 525,417.30 and 219,572.46

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Solution

The fourth proportional to 380,720.34, 525,417.30 and 219,572.46 is: 303,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,720.34 : 525,417.30 = 219,572.46 : x
  2. Step 2: Convert to fraction form
    380,720.34/525,417.30 = 219,572.46/x
  3. Step 3: Cross multiply
    380,720.34x = 525,417.30 × 219,572.46
  4. Step 4: Simplify right side
    380,720.34x = 115,367,169,087.56
  5. Step 5: Solve for x
    x = 115,367,169,087.56/380,720.34
  6. Step 6: Final answer
    x = 303,023.39

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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.