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Finding the Fourth Proportional to 468,634.70, 702,952.05 and 450,263.90

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Solution

The fourth proportional to 468,634.70, 702,952.05 and 450,263.90 is: 675,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,634.70 : 702,952.05 = 450,263.90 : x
  2. Step 2: Convert to fraction form
    468,634.70/702,952.05 = 450,263.90/x
  3. Step 3: Cross multiply
    468,634.70x = 702,952.05 × 450,263.90
  4. Step 4: Simplify right side
    468,634.70x = 316,513,931,546.00
  5. Step 5: Solve for x
    x = 316,513,931,546.00/468,634.70
  6. Step 6: Final answer
    x = 675,395.85

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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.