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Finding the Fourth Proportional to 648,774.96, 973,162.50 and 193,373.25

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Solution

The fourth proportional to 648,774.96, 973,162.50 and 193,373.25 is: 290,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,774.96 : 973,162.50 = 193,373.25 : x
  2. Step 2: Convert to fraction form
    648,774.96/973,162.50 = 193,373.25/x
  3. Step 3: Cross multiply
    648,774.96x = 973,162.50 × 193,373.25
  4. Step 4: Simplify right side
    648,774.96x = 188,183,595,403.13
  5. Step 5: Solve for x
    x = 188,183,595,403.13/648,774.96
  6. Step 6: Final answer
    x = 290,059.89

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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.