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Finding the Fourth Proportional to 701,763, 968,374.08 and 415,232.88

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Solution

The fourth proportional to 701,763, 968,374.08 and 415,232.88 is: 572,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,763 : 968,374.08 = 415,232.88 : x
  2. Step 2: Convert to fraction form
    701,763/968,374.08 = 415,232.88/x
  3. Step 3: Cross multiply
    701,763x = 968,374.08 × 415,232.88
  4. Step 4: Simplify right side
    701,763x = 402,100,758,155.75
  5. Step 5: Solve for x
    x = 402,100,758,155.75/701,763
  6. Step 6: Final answer
    x = 572,986.55

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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.