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Finding the Fourth Proportional to 301,813.11, 452,369.75 and 284,317.11

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Solution

The fourth proportional to 301,813.11, 452,369.75 and 284,317.11 is: 426,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,813.11 : 452,369.75 = 284,317.11 : x
  2. Step 2: Convert to fraction form
    301,813.11/452,369.75 = 284,317.11/x
  3. Step 3: Cross multiply
    301,813.11x = 452,369.75 × 284,317.11
  4. Step 4: Simplify right side
    301,813.11x = 128,616,458,549.84
  5. Step 5: Solve for x
    x = 128,616,458,549.84/301,813.11
  6. Step 6: Final answer
    x = 426,146.03

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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.