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Finding the Fourth Proportional to 507,981.58, 701,046.02 and 281,627.08

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Solution

The fourth proportional to 507,981.58, 701,046.02 and 281,627.08 is: 388,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,981.58 : 701,046.02 = 281,627.08 : x
  2. Step 2: Convert to fraction form
    507,981.58/701,046.02 = 281,627.08/x
  3. Step 3: Cross multiply
    507,981.58x = 701,046.02 × 281,627.08
  4. Step 4: Simplify right side
    507,981.58x = 197,433,543,558.22
  5. Step 5: Solve for x
    x = 197,433,543,558.22/507,981.58
  6. Step 6: Final answer
    x = 388,662.80

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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.