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Finding the Fourth Proportional to 906,323, 1,359,194.27 and 298,975.40

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Solution

The fourth proportional to 906,323, 1,359,194.27 and 298,975.40 is: 448,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,323 : 1,359,194.27 = 298,975.40 : x
  2. Step 2: Convert to fraction form
    906,323/1,359,194.27 = 298,975.40/x
  3. Step 3: Cross multiply
    906,323x = 1,359,194.27 × 298,975.40
  4. Step 4: Simplify right side
    906,323x = 406,365,643,754.99
  5. Step 5: Solve for x
    x = 406,365,643,754.99/906,323
  6. Step 6: Final answer
    x = 448,367.35

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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.