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Finding the Fourth Proportional to 649,354.59, 974,189.52 and 200,075.45

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Solution

The fourth proportional to 649,354.59, 974,189.52 and 200,075.45 is: 300,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,354.59 : 974,189.52 = 200,075.45 : x
  2. Step 2: Convert to fraction form
    649,354.59/974,189.52 = 200,075.45/x
  3. Step 3: Cross multiply
    649,354.59x = 974,189.52 × 200,075.45
  4. Step 4: Simplify right side
    649,354.59x = 194,911,401,728.34
  5. Step 5: Solve for x
    x = 194,911,401,728.34/649,354.59
  6. Step 6: Final answer
    x = 300,161.74

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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.