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Finding the Fourth Proportional to 505,976.42, 758,852.85 and 146,069.06

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Solution

The fourth proportional to 505,976.42, 758,852.85 and 146,069.06 is: 219,071.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,976.42 : 758,852.85 = 146,069.06 : x
  2. Step 2: Convert to fraction form
    505,976.42/758,852.85 = 146,069.06/x
  3. Step 3: Cross multiply
    505,976.42x = 758,852.85 × 146,069.06
  4. Step 4: Simplify right side
    505,976.42x = 110,844,922,477.82
  5. Step 5: Solve for x
    x = 110,844,922,477.82/505,976.42
  6. Step 6: Final answer
    x = 219,071.32

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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.