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Finding the Fourth Proportional to 424,199.25, 585,398.93 and 233,214

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Solution

The fourth proportional to 424,199.25, 585,398.93 and 233,214 is: 321,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,199.25 : 585,398.93 = 233,214 : x
  2. Step 2: Convert to fraction form
    424,199.25/585,398.93 = 233,214/x
  3. Step 3: Cross multiply
    424,199.25x = 585,398.93 × 233,214
  4. Step 4: Simplify right side
    424,199.25x = 136,523,224,894.95
  5. Step 5: Solve for x
    x = 136,523,224,894.95/424,199.25
  6. Step 6: Final answer
    x = 321,837.50

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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.