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Finding the Fourth Proportional to 365,701.32, 504,690.20 and 204,567.21

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Solution

The fourth proportional to 365,701.32, 504,690.20 and 204,567.21 is: 282,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,701.32 : 504,690.20 = 204,567.21 : x
  2. Step 2: Convert to fraction form
    365,701.32/504,690.20 = 204,567.21/x
  3. Step 3: Cross multiply
    365,701.32x = 504,690.20 × 204,567.21
  4. Step 4: Simplify right side
    365,701.32x = 103,243,065,105.51
  5. Step 5: Solve for x
    x = 103,243,065,105.51/365,701.32
  6. Step 6: Final answer
    x = 282,315.27

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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.