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Finding the Fourth Proportional to 287,584.40, 431,376.60 and 252,592.40

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Solution

The fourth proportional to 287,584.40, 431,376.60 and 252,592.40 is: 378,888.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,584.40 : 431,376.60 = 252,592.40 : x
  2. Step 2: Convert to fraction form
    287,584.40/431,376.60 = 252,592.40/x
  3. Step 3: Cross multiply
    287,584.40x = 431,376.60 × 252,592.40
  4. Step 4: Simplify right side
    287,584.40x = 108,962,450,697.84
  5. Step 5: Solve for x
    x = 108,962,450,697.84/287,584.40
  6. Step 6: Final answer
    x = 378,888.60

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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.