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Finding the Fourth Proportional to 650,109.40, 973,263.30 and 463,485.40

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Solution

The fourth proportional to 650,109.40, 973,263.30 and 463,485.40 is: 693,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,109.40 : 973,263.30 = 463,485.40 : x
  2. Step 2: Convert to fraction form
    650,109.40/973,263.30 = 463,485.40/x
  3. Step 3: Cross multiply
    650,109.40x = 973,263.30 × 463,485.40
  4. Step 4: Simplify right side
    650,109.40x = 451,093,329,905.82
  5. Step 5: Solve for x
    x = 451,093,329,905.82/650,109.40
  6. Step 6: Final answer
    x = 693,872.95

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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.