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Finding the Fourth Proportional to 550,033.30, 824,065.80 and 471,301.30

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Solution

The fourth proportional to 550,033.30, 824,065.80 and 471,301.30 is: 706,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,033.30 : 824,065.80 = 471,301.30 : x
  2. Step 2: Convert to fraction form
    550,033.30/824,065.80 = 471,301.30/x
  3. Step 3: Cross multiply
    550,033.30x = 824,065.80 × 471,301.30
  4. Step 4: Simplify right side
    550,033.30x = 388,383,282,825.54
  5. Step 5: Solve for x
    x = 388,383,282,825.54/550,033.30
  6. Step 6: Final answer
    x = 706,108.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.