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Finding the Fourth Proportional to 648,338.50, 972,850.38 and 460,015.96

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Solution

The fourth proportional to 648,338.50, 972,850.38 and 460,015.96 is: 690,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,338.50 : 972,850.38 = 460,015.96 : x
  2. Step 2: Convert to fraction form
    648,338.50/972,850.38 = 460,015.96/x
  3. Step 3: Cross multiply
    648,338.50x = 972,850.38 × 460,015.96
  4. Step 4: Simplify right side
    648,338.50x = 447,526,701,492.07
  5. Step 5: Solve for x
    x = 447,526,701,492.07/648,338.50
  6. Step 6: Final answer
    x = 690,267.05

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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.