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Finding the Fourth Proportional to 298,095.04, 411,370.86 and 170,771.14

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Solution

The fourth proportional to 298,095.04, 411,370.86 and 170,771.14 is: 235,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,095.04 : 411,370.86 = 170,771.14 : x
  2. Step 2: Convert to fraction form
    298,095.04/411,370.86 = 170,771.14/x
  3. Step 3: Cross multiply
    298,095.04x = 411,370.86 × 170,771.14
  4. Step 4: Simplify right side
    298,095.04x = 70,250,270,724.98
  5. Step 5: Solve for x
    x = 70,250,270,724.98/298,095.04
  6. Step 6: Final answer
    x = 235,664.00

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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.