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Finding the Fourth Proportional to 380,572.08, 525,190.14 and 210,802.56

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Solution

The fourth proportional to 380,572.08, 525,190.14 and 210,802.56 is: 290,907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,572.08 : 525,190.14 = 210,802.56 : x
  2. Step 2: Convert to fraction form
    380,572.08/525,190.14 = 210,802.56/x
  3. Step 3: Cross multiply
    380,572.08x = 525,190.14 × 210,802.56
  4. Step 4: Simplify right side
    380,572.08x = 110,711,425,998.76
  5. Step 5: Solve for x
    x = 110,711,425,998.76/380,572.08
  6. Step 6: Final answer
    x = 290,907.90

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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.