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Finding the Fourth Proportional to 285,419.80, 428,129.70 and 174,827.80

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Solution

The fourth proportional to 285,419.80, 428,129.70 and 174,827.80 is: 262,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,419.80 : 428,129.70 = 174,827.80 : x
  2. Step 2: Convert to fraction form
    285,419.80/428,129.70 = 174,827.80/x
  3. Step 3: Cross multiply
    285,419.80x = 428,129.70 × 174,827.80
  4. Step 4: Simplify right side
    285,419.80x = 74,848,973,565.66
  5. Step 5: Solve for x
    x = 74,848,973,565.66/285,419.80
  6. Step 6: Final answer
    x = 262,241.70

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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.