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Finding the Fourth Proportional to 653,528.30, 980,352.87 and 254,199.38

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Solution

The fourth proportional to 653,528.30, 980,352.87 and 254,199.38 is: 381,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,528.30 : 980,352.87 = 254,199.38 : x
  2. Step 2: Convert to fraction form
    653,528.30/980,352.87 = 254,199.38/x
  3. Step 3: Cross multiply
    653,528.30x = 980,352.87 × 254,199.38
  4. Step 4: Simplify right side
    653,528.30x = 249,205,091,735.22
  5. Step 5: Solve for x
    x = 249,205,091,735.22/653,528.30
  6. Step 6: Final answer
    x = 381,322.57

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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.