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Finding the Fourth Proportional to 365,802.92, 504,827.64 and 204,648.36

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Solution

The fourth proportional to 365,802.92, 504,827.64 and 204,648.36 is: 282,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,802.92 : 504,827.64 = 204,648.36 : x
  2. Step 2: Convert to fraction form
    365,802.92/504,827.64 = 204,648.36/x
  3. Step 3: Cross multiply
    365,802.92x = 504,827.64 × 204,648.36
  4. Step 4: Simplify right side
    365,802.92x = 103,312,145,061.29
  5. Step 5: Solve for x
    x = 103,312,145,061.29/365,802.92
  6. Step 6: Final answer
    x = 282,425.70

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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.