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Finding the Fourth Proportional to 364,588.51, 503,057.01 and 209,509.81

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Solution

The fourth proportional to 364,588.51, 503,057.01 and 209,509.81 is: 289,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,588.51 : 503,057.01 = 209,509.81 : x
  2. Step 2: Convert to fraction form
    364,588.51/503,057.01 = 209,509.81/x
  3. Step 3: Cross multiply
    364,588.51x = 503,057.01 × 209,509.81
  4. Step 4: Simplify right side
    364,588.51x = 105,395,378,584.27
  5. Step 5: Solve for x
    x = 105,395,378,584.27/364,588.51
  6. Step 6: Final answer
    x = 289,080.36

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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.