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Finding the Fourth Proportional to 1,312,583.76, 1,968,917.76 and 414,033.84

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Solution

The fourth proportional to 1,312,583.76, 1,968,917.76 and 414,033.84 is: 621,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,583.76 : 1,968,917.76 = 414,033.84 : x
  2. Step 2: Convert to fraction form
    1,312,583.76/1,968,917.76 = 414,033.84/x
  3. Step 3: Cross multiply
    1,312,583.76x = 1,968,917.76 × 414,033.84
  4. Step 4: Simplify right side
    1,312,583.76x = 815,198,580,817.00
  5. Step 5: Solve for x
    x = 815,198,580,817.00/1,312,583.76
  6. Step 6: Final answer
    x = 621,064.05

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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.