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Finding the Fourth Proportional to 330,688.80, 455,928 and 214,196.64

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Solution

The fourth proportional to 330,688.80, 455,928 and 214,196.64 is: 295,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,688.80 : 455,928 = 214,196.64 : x
  2. Step 2: Convert to fraction form
    330,688.80/455,928 = 214,196.64/x
  3. Step 3: Cross multiply
    330,688.80x = 455,928 × 214,196.64
  4. Step 4: Simplify right side
    330,688.80x = 97,658,245,681.92
  5. Step 5: Solve for x
    x = 97,658,245,681.92/330,688.80
  6. Step 6: Final answer
    x = 295,317.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.