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Finding the Fourth Proportional to 380,248.08, 524,736 and 210,478.56

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Solution

The fourth proportional to 380,248.08, 524,736 and 210,478.56 is: 290,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,248.08 : 524,736 = 210,478.56 : x
  2. Step 2: Convert to fraction form
    380,248.08/524,736 = 210,478.56/x
  3. Step 3: Cross multiply
    380,248.08x = 524,736 × 210,478.56
  4. Step 4: Simplify right side
    380,248.08x = 110,445,677,660.16
  5. Step 5: Solve for x
    x = 110,445,677,660.16/380,248.08
  6. Step 6: Final answer
    x = 290,456.90

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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.