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Finding the Fourth Proportional to 333,782.26, 497,695.99 and 296,690.74

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Solution

The fourth proportional to 333,782.26, 497,695.99 and 296,690.74 is: 442,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,782.26 : 497,695.99 = 296,690.74 : x
  2. Step 2: Convert to fraction form
    333,782.26/497,695.99 = 296,690.74/x
  3. Step 3: Cross multiply
    333,782.26x = 497,695.99 × 296,690.74
  4. Step 4: Simplify right side
    333,782.26x = 147,661,790,084.68
  5. Step 5: Solve for x
    x = 147,661,790,084.68/333,782.26
  6. Step 6: Final answer
    x = 442,389.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.