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Finding the Fourth Proportional to 301,511.10, 452,266.65 and 254,271.90

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Solution

The fourth proportional to 301,511.10, 452,266.65 and 254,271.90 is: 381,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,511.10 : 452,266.65 = 254,271.90 : x
  2. Step 2: Convert to fraction form
    301,511.10/452,266.65 = 254,271.90/x
  3. Step 3: Cross multiply
    301,511.10x = 452,266.65 × 254,271.90
  4. Step 4: Simplify right side
    301,511.10x = 114,998,700,402.14
  5. Step 5: Solve for x
    x = 114,998,700,402.14/301,511.10
  6. Step 6: Final answer
    x = 381,407.85

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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.