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Finding the Fourth Proportional to 507,546, 700,436.43 and 281,191.50

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Solution

The fourth proportional to 507,546, 700,436.43 and 281,191.50 is: 388,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,546 : 700,436.43 = 281,191.50 : x
  2. Step 2: Convert to fraction form
    507,546/700,436.43 = 281,191.50/x
  3. Step 3: Cross multiply
    507,546x = 700,436.43 × 281,191.50
  4. Step 4: Simplify right side
    507,546x = 196,956,770,406.35
  5. Step 5: Solve for x
    x = 196,956,770,406.35/507,546
  6. Step 6: Final answer
    x = 388,056.98

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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.