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Finding the Fourth Proportional to 713,853.78, 985,100.45 and 407,910.75

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Solution

The fourth proportional to 713,853.78, 985,100.45 and 407,910.75 is: 562,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,853.78 : 985,100.45 = 407,910.75 : x
  2. Step 2: Convert to fraction form
    713,853.78/985,100.45 = 407,910.75/x
  3. Step 3: Cross multiply
    713,853.78x = 985,100.45 × 407,910.75
  4. Step 4: Simplify right side
    713,853.78x = 401,833,063,384.84
  5. Step 5: Solve for x
    x = 401,833,063,384.84/713,853.78
  6. Step 6: Final answer
    x = 562,906.68

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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.