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Finding the Fourth Proportional to 346,727.80, 520,091.70 and 199,271.80

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Solution

The fourth proportional to 346,727.80, 520,091.70 and 199,271.80 is: 298,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,727.80 : 520,091.70 = 199,271.80 : x
  2. Step 2: Convert to fraction form
    346,727.80/520,091.70 = 199,271.80/x
  3. Step 3: Cross multiply
    346,727.80x = 520,091.70 × 199,271.80
  4. Step 4: Simplify right side
    346,727.80x = 103,639,609,224.06
  5. Step 5: Solve for x
    x = 103,639,609,224.06/346,727.80
  6. Step 6: Final answer
    x = 298,907.70

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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.