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Finding the Fourth Proportional to 709,083.48, 978,541.46 and 386,795.01

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Solution

The fourth proportional to 709,083.48, 978,541.46 and 386,795.01 is: 533,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,083.48 : 978,541.46 = 386,795.01 : x
  2. Step 2: Convert to fraction form
    709,083.48/978,541.46 = 386,795.01/x
  3. Step 3: Cross multiply
    709,083.48x = 978,541.46 × 386,795.01
  4. Step 4: Simplify right side
    709,083.48x = 378,494,951,872.14
  5. Step 5: Solve for x
    x = 378,494,951,872.14/709,083.48
  6. Step 6: Final answer
    x = 533,780.52

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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.