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Finding the Fourth Proportional to 585,271.14, 877,977.04 and 206,113.50

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Solution

The fourth proportional to 585,271.14, 877,977.04 and 206,113.50 is: 309,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,271.14 : 877,977.04 = 206,113.50 : x
  2. Step 2: Convert to fraction form
    585,271.14/877,977.04 = 206,113.50/x
  3. Step 3: Cross multiply
    585,271.14x = 877,977.04 × 206,113.50
  4. Step 4: Simplify right side
    585,271.14x = 180,962,920,634.04
  5. Step 5: Solve for x
    x = 180,962,920,634.04/585,271.14
  6. Step 6: Final answer
    x = 309,195.02

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