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Finding the Fourth Proportional to 649,007.16, 973,603.02 and 199,765.50

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Solution

The fourth proportional to 649,007.16, 973,603.02 and 199,765.50 is: 299,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,007.16 : 973,603.02 = 199,765.50 : x
  2. Step 2: Convert to fraction form
    649,007.16/973,603.02 = 199,765.50/x
  3. Step 3: Cross multiply
    649,007.16x = 973,603.02 × 199,765.50
  4. Step 4: Simplify right side
    649,007.16x = 194,492,294,091.81
  5. Step 5: Solve for x
    x = 194,492,294,091.81/649,007.16
  6. Step 6: Final answer
    x = 299,676.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.