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Finding the Fourth Proportional to 386,896.16, 533,038.42 and 299,380.34

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Solution

The fourth proportional to 386,896.16, 533,038.42 and 299,380.34 is: 412,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,896.16 : 533,038.42 = 299,380.34 : x
  2. Step 2: Convert to fraction form
    386,896.16/533,038.42 = 299,380.34/x
  3. Step 3: Cross multiply
    386,896.16x = 533,038.42 × 299,380.34
  4. Step 4: Simplify right side
    386,896.16x = 159,581,223,412.66
  5. Step 5: Solve for x
    x = 159,581,223,412.66/386,896.16
  6. Step 6: Final answer
    x = 412,465.26

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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.