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Finding the Fourth Proportional to 298,823.40, 448,235.10 and 111,810.60

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Solution

The fourth proportional to 298,823.40, 448,235.10 and 111,810.60 is: 167,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,823.40 : 448,235.10 = 111,810.60 : x
  2. Step 2: Convert to fraction form
    298,823.40/448,235.10 = 111,810.60/x
  3. Step 3: Cross multiply
    298,823.40x = 448,235.10 × 111,810.60
  4. Step 4: Simplify right side
    298,823.40x = 50,117,435,472.06
  5. Step 5: Solve for x
    x = 50,117,435,472.06/298,823.40
  6. Step 6: Final answer
    x = 167,715.90

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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.