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Finding the Fourth Proportional to 233,909.90, 322,716.38 and 190,814.90

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Solution

The fourth proportional to 233,909.90, 322,716.38 and 190,814.90 is: 263,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,909.90 : 322,716.38 = 190,814.90 : x
  2. Step 2: Convert to fraction form
    233,909.90/322,716.38 = 190,814.90/x
  3. Step 3: Cross multiply
    233,909.90x = 322,716.38 × 190,814.90
  4. Step 4: Simplify right side
    233,909.90x = 61,579,091,210.41
  5. Step 5: Solve for x
    x = 61,579,091,210.41/233,909.90
  6. Step 6: Final answer
    x = 263,259.87

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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.