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Finding the Fourth Proportional to 298,100.16, 446,116.88 and 285,699.87

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Solution

The fourth proportional to 298,100.16, 446,116.88 and 285,699.87 is: 427,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,100.16 : 446,116.88 = 285,699.87 : x
  2. Step 2: Convert to fraction form
    298,100.16/446,116.88 = 285,699.87/x
  3. Step 3: Cross multiply
    298,100.16x = 446,116.88 × 285,699.87
  4. Step 4: Simplify right side
    298,100.16x = 127,455,535,335.06
  5. Step 5: Solve for x
    x = 127,455,535,335.06/298,100.16
  6. Step 6: Final answer
    x = 427,559.43

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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.