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Finding the Fourth Proportional to 287,544.89, 430,840.46 and 174,884.32

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Solution

The fourth proportional to 287,544.89, 430,840.46 and 174,884.32 is: 262,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,544.89 : 430,840.46 = 174,884.32 : x
  2. Step 2: Convert to fraction form
    287,544.89/430,840.46 = 174,884.32/x
  3. Step 3: Cross multiply
    287,544.89x = 430,840.46 × 174,884.32
  4. Step 4: Simplify right side
    287,544.89x = 75,347,240,235.70
  5. Step 5: Solve for x
    x = 75,347,240,235.70/287,544.89
  6. Step 6: Final answer
    x = 262,036.44

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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.