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Finding the Fourth Proportional to 364,580.94, 503,046.59 and 209,502.28

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Solution

The fourth proportional to 364,580.94, 503,046.59 and 209,502.28 is: 289,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,580.94 : 503,046.59 = 209,502.28 : x
  2. Step 2: Convert to fraction form
    364,580.94/503,046.59 = 209,502.28/x
  3. Step 3: Cross multiply
    364,580.94x = 503,046.59 × 209,502.28
  4. Step 4: Simplify right side
    364,580.94x = 105,389,405,246.10
  5. Step 5: Solve for x
    x = 105,389,405,246.10/364,580.94
  6. Step 6: Final answer
    x = 289,069.98

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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.