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Finding the Fourth Proportional to 305,536.74, 457,641.72 and 186,848.25

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Solution

The fourth proportional to 305,536.74, 457,641.72 and 186,848.25 is: 279,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,536.74 : 457,641.72 = 186,848.25 : x
  2. Step 2: Convert to fraction form
    305,536.74/457,641.72 = 186,848.25/x
  3. Step 3: Cross multiply
    305,536.74x = 457,641.72 × 186,848.25
  4. Step 4: Simplify right side
    305,536.74x = 85,509,554,508.99
  5. Step 5: Solve for x
    x = 85,509,554,508.99/305,536.74
  6. Step 6: Final answer
    x = 279,866.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.