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Finding the Fourth Proportional to 285,534.72, 430,795.26 and 284,747.40

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Solution

The fourth proportional to 285,534.72, 430,795.26 and 284,747.40 is: 429,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,534.72 : 430,795.26 = 284,747.40 : x
  2. Step 2: Convert to fraction form
    285,534.72/430,795.26 = 284,747.40/x
  3. Step 3: Cross multiply
    285,534.72x = 430,795.26 × 284,747.40
  4. Step 4: Simplify right side
    285,534.72x = 122,667,830,217.32
  5. Step 5: Solve for x
    x = 122,667,830,217.32/285,534.72
  6. Step 6: Final answer
    x = 429,607.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.