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Finding the Fourth Proportional to 1,749,873.60, 2,415,138.72 and 1,024,678.98

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Solution

The fourth proportional to 1,749,873.60, 2,415,138.72 and 1,024,678.98 is: 1,414,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,873.60 : 2,415,138.72 = 1,024,678.98 : x
  2. Step 2: Convert to fraction form
    1,749,873.60/2,415,138.72 = 1,024,678.98/x
  3. Step 3: Cross multiply
    1,749,873.60x = 2,415,138.72 × 1,024,678.98
  4. Step 4: Simplify right side
    1,749,873.60x = 2,474,741,880,168.11
  5. Step 5: Solve for x
    x = 2,474,741,880,168.11/1,749,873.60
  6. Step 6: Final answer
    x = 1,414,240.37

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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.