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Finding the Fourth Proportional to 312,923.49, 469,421.88 and 99,616.67

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Solution

The fourth proportional to 312,923.49, 469,421.88 and 99,616.67 is: 149,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,923.49 : 469,421.88 = 99,616.67 : x
  2. Step 2: Convert to fraction form
    312,923.49/469,421.88 = 99,616.67/x
  3. Step 3: Cross multiply
    312,923.49x = 469,421.88 × 99,616.67
  4. Step 4: Simplify right side
    312,923.49x = 46,762,244,510.74
  5. Step 5: Solve for x
    x = 46,762,244,510.74/312,923.49
  6. Step 6: Final answer
    x = 149,436.67

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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.