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Finding the Fourth Proportional to 233,993.26, 322,830.57 and 190,897.66

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Solution

The fourth proportional to 233,993.26, 322,830.57 and 190,897.66 is: 263,373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,993.26 : 322,830.57 = 190,897.66 : x
  2. Step 2: Convert to fraction form
    233,993.26/322,830.57 = 190,897.66/x
  3. Step 3: Cross multiply
    233,993.26x = 322,830.57 × 190,897.66
  4. Step 4: Simplify right side
    233,993.26x = 61,627,600,389.47
  5. Step 5: Solve for x
    x = 61,627,600,389.47/233,993.26
  6. Step 6: Final answer
    x = 263,373.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.