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Finding the Fourth Proportional to 301,829.48, 452,694 and 91,417.40

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Solution

The fourth proportional to 301,829.48, 452,694 and 91,417.40 is: 137,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,829.48 : 452,694 = 91,417.40 : x
  2. Step 2: Convert to fraction form
    301,829.48/452,694 = 91,417.40/x
  3. Step 3: Cross multiply
    301,829.48x = 452,694 × 91,417.40
  4. Step 4: Simplify right side
    301,829.48x = 41,384,108,475.60
  5. Step 5: Solve for x
    x = 41,384,108,475.60/301,829.48
  6. Step 6: Final answer
    x = 137,110.89

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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.