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Finding the Fourth Proportional to 504,751.84, 696,556.20 and 289,905.84

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Solution

The fourth proportional to 504,751.84, 696,556.20 and 289,905.84 is: 400,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,751.84 : 696,556.20 = 289,905.84 : x
  2. Step 2: Convert to fraction form
    504,751.84/696,556.20 = 289,905.84/x
  3. Step 3: Cross multiply
    504,751.84x = 696,556.20 × 289,905.84
  4. Step 4: Simplify right side
    504,751.84x = 201,935,710,268.21
  5. Step 5: Solve for x
    x = 201,935,710,268.21/504,751.84
  6. Step 6: Final answer
    x = 400,069.29

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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.