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Finding the Fourth Proportional to 298,594, 447,937.08 and 111,632.08

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Solution

The fourth proportional to 298,594, 447,937.08 and 111,632.08 is: 167,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,594 : 447,937.08 = 111,632.08 : x
  2. Step 2: Convert to fraction form
    298,594/447,937.08 = 111,632.08/x
  3. Step 3: Cross multiply
    298,594x = 447,937.08 × 111,632.08
  4. Step 4: Simplify right side
    298,594x = 50,004,147,949.53
  5. Step 5: Solve for x
    x = 50,004,147,949.53/298,594
  6. Step 6: Final answer
    x = 167,465.35

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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.