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Finding the Fourth Proportional to 301,698, 452,605.23 and 114,694.92

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Solution

The fourth proportional to 301,698, 452,605.23 and 114,694.92 is: 172,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,698 : 452,605.23 = 114,694.92 : x
  2. Step 2: Convert to fraction form
    301,698/452,605.23 = 114,694.92/x
  3. Step 3: Cross multiply
    301,698x = 452,605.23 × 114,694.92
  4. Step 4: Simplify right side
    301,698x = 51,911,520,646.43
  5. Step 5: Solve for x
    x = 51,911,520,646.43/301,698
  6. Step 6: Final answer
    x = 172,064.52

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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.