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Finding the Fourth Proportional to 601,356.09, 829,556.79 and 371,840.01

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Solution

The fourth proportional to 601,356.09, 829,556.79 and 371,840.01 is: 512,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,356.09 : 829,556.79 = 371,840.01 : x
  2. Step 2: Convert to fraction form
    601,356.09/829,556.79 = 371,840.01/x
  3. Step 3: Cross multiply
    601,356.09x = 829,556.79 × 371,840.01
  4. Step 4: Simplify right side
    601,356.09x = 308,462,405,089.17
  5. Step 5: Solve for x
    x = 308,462,405,089.17/601,356.09
  6. Step 6: Final answer
    x = 512,944.68

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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.