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Finding the Fourth Proportional to 301,059.48, 452,295 and 284,036.52

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Solution

The fourth proportional to 301,059.48, 452,295 and 284,036.52 is: 426,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,059.48 : 452,295 = 284,036.52 : x
  2. Step 2: Convert to fraction form
    301,059.48/452,295 = 284,036.52/x
  3. Step 3: Cross multiply
    301,059.48x = 452,295 × 284,036.52
  4. Step 4: Simplify right side
    301,059.48x = 128,468,297,813.40
  5. Step 5: Solve for x
    x = 128,468,297,813.40/301,059.48
  6. Step 6: Final answer
    x = 426,720.65

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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.