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Finding the Fourth Proportional to 405,162.93, 559,122.71 and 223,887.36

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Solution

The fourth proportional to 405,162.93, 559,122.71 and 223,887.36 is: 308,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,162.93 : 559,122.71 = 223,887.36 : x
  2. Step 2: Convert to fraction form
    405,162.93/559,122.71 = 223,887.36/x
  3. Step 3: Cross multiply
    405,162.93x = 559,122.71 × 223,887.36
  4. Step 4: Simplify right side
    405,162.93x = 125,180,506,338.51
  5. Step 5: Solve for x
    x = 125,180,506,338.51/405,162.93
  6. Step 6: Final answer
    x = 308,963.38

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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.