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Finding the Fourth Proportional to 280,678.26, 387,335.34 and 153,354.81

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Solution

The fourth proportional to 280,678.26, 387,335.34 and 153,354.81 is: 211,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,678.26 : 387,335.34 = 153,354.81 : x
  2. Step 2: Convert to fraction form
    280,678.26/387,335.34 = 153,354.81/x
  3. Step 3: Cross multiply
    280,678.26x = 387,335.34 × 153,354.81
  4. Step 4: Simplify right side
    280,678.26x = 59,399,737,471.99
  5. Step 5: Solve for x
    x = 59,399,737,471.99/280,678.26
  6. Step 6: Final answer
    x = 211,629.28

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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.