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Finding the Fourth Proportional to 701,772, 968,386.50 and 415,241.88

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Solution

The fourth proportional to 701,772, 968,386.50 and 415,241.88 is: 572,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,772 : 968,386.50 = 415,241.88 : x
  2. Step 2: Convert to fraction form
    701,772/968,386.50 = 415,241.88/x
  3. Step 3: Cross multiply
    701,772x = 968,386.50 × 415,241.88
  4. Step 4: Simplify right side
    701,772x = 402,114,630,826.62
  5. Step 5: Solve for x
    x = 402,114,630,826.62/701,772
  6. Step 6: Final answer
    x = 572,998.97

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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.