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Finding the Fourth Proportional to 417,181.18, 624,751.16 and 376,746

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Solution

The fourth proportional to 417,181.18, 624,751.16 and 376,746 is: 564,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,181.18 : 624,751.16 = 376,746 : x
  2. Step 2: Convert to fraction form
    417,181.18/624,751.16 = 376,746/x
  3. Step 3: Cross multiply
    417,181.18x = 624,751.16 × 376,746
  4. Step 4: Simplify right side
    417,181.18x = 235,372,500,525.36
  5. Step 5: Solve for x
    x = 235,372,500,525.36/417,181.18
  6. Step 6: Final answer
    x = 564,197.31

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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.