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Finding the Fourth Proportional to 280,409.39, 386,950.31 and 153,060.38

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Solution

The fourth proportional to 280,409.39, 386,950.31 and 153,060.38 is: 211,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,409.39 : 386,950.31 = 153,060.38 : x
  2. Step 2: Convert to fraction form
    280,409.39/386,950.31 = 153,060.38/x
  3. Step 3: Cross multiply
    280,409.39x = 386,950.31 × 153,060.38
  4. Step 4: Simplify right side
    280,409.39x = 59,226,759,937.62
  5. Step 5: Solve for x
    x = 59,226,759,937.62/280,409.39
  6. Step 6: Final answer
    x = 211,215.33

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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.