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Finding the Fourth Proportional to 365,898.63, 504,867.61 and 204,722.40

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Solution

The fourth proportional to 365,898.63, 504,867.61 and 204,722.40 is: 282,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,898.63 : 504,867.61 = 204,722.40 : x
  2. Step 2: Convert to fraction form
    365,898.63/504,867.61 = 204,722.40/x
  3. Step 3: Cross multiply
    365,898.63x = 504,867.61 × 204,722.40
  4. Step 4: Simplify right side
    365,898.63x = 103,357,708,801.46
  5. Step 5: Solve for x
    x = 103,357,708,801.46/365,898.63
  6. Step 6: Final answer
    x = 282,476.35

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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.