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Finding the Fourth Proportional to 701,828.71, 968,771.81 and 415,348.12

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Solution

The fourth proportional to 701,828.71, 968,771.81 and 415,348.12 is: 573,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,828.71 : 968,771.81 = 415,348.12 : x
  2. Step 2: Convert to fraction form
    701,828.71/968,771.81 = 415,348.12/x
  3. Step 3: Cross multiply
    701,828.71x = 968,771.81 × 415,348.12
  4. Step 4: Simplify right side
    701,828.71x = 402,377,549,992.50
  5. Step 5: Solve for x
    x = 402,377,549,992.50/701,828.71
  6. Step 6: Final answer
    x = 573,327.29

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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.