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Finding the Fourth Proportional to 1,584,932.40, 2,378,710.80 and 733,314.60

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Solution

The fourth proportional to 1,584,932.40, 2,378,710.80 and 733,314.60 is: 1,100,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,932.40 : 2,378,710.80 = 733,314.60 : x
  2. Step 2: Convert to fraction form
    1,584,932.40/2,378,710.80 = 733,314.60/x
  3. Step 3: Cross multiply
    1,584,932.40x = 2,378,710.80 × 733,314.60
  4. Step 4: Simplify right side
    1,584,932.40x = 1,744,343,358,817.68
  5. Step 5: Solve for x
    x = 1,744,343,358,817.68/1,584,932.40
  6. Step 6: Final answer
    x = 1,100,579.03

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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.