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Finding the Fourth Proportional to 410,784.39, 616,254.33 and 189,168.39

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Solution

The fourth proportional to 410,784.39, 616,254.33 and 189,168.39 is: 283,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,784.39 : 616,254.33 = 189,168.39 : x
  2. Step 2: Convert to fraction form
    410,784.39/616,254.33 = 189,168.39/x
  3. Step 3: Cross multiply
    410,784.39x = 616,254.33 × 189,168.39
  4. Step 4: Simplify right side
    410,784.39x = 116,575,839,436.63
  5. Step 5: Solve for x
    x = 116,575,839,436.63/410,784.39
  6. Step 6: Final answer
    x = 283,788.39

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1.5x scale

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.