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Finding the Fourth Proportional to 585,271.31, 877,977.26 and 206,113.67

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Solution

The fourth proportional to 585,271.31, 877,977.26 and 206,113.67 is: 309,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,271.31 : 877,977.26 = 206,113.67 : x
  2. Step 2: Convert to fraction form
    585,271.31/877,977.26 = 206,113.67/x
  3. Step 3: Cross multiply
    585,271.31x = 877,977.26 × 206,113.67
  4. Step 4: Simplify right side
    585,271.31x = 180,963,109,814.69
  5. Step 5: Solve for x
    x = 180,963,109,814.69/585,271.31
  6. Step 6: Final answer
    x = 309,195.25

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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.