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Finding the Fourth Proportional to 328,704, 493,094.88 and 107,088

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Solution

The fourth proportional to 328,704, 493,094.88 and 107,088 is: 160,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,704 : 493,094.88 = 107,088 : x
  2. Step 2: Convert to fraction form
    328,704/493,094.88 = 107,088/x
  3. Step 3: Cross multiply
    328,704x = 493,094.88 × 107,088
  4. Step 4: Simplify right side
    328,704x = 52,804,544,509.44
  5. Step 5: Solve for x
    x = 52,804,544,509.44/328,704
  6. Step 6: Final answer
    x = 160,644.67

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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.