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Finding the Fourth Proportional to 328,516.68, 493,051.98 and 128,977.20

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Solution

The fourth proportional to 328,516.68, 493,051.98 and 128,977.20 is: 193,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,516.68 : 493,051.98 = 128,977.20 : x
  2. Step 2: Convert to fraction form
    328,516.68/493,051.98 = 128,977.20/x
  3. Step 3: Cross multiply
    328,516.68x = 493,051.98 × 128,977.20
  4. Step 4: Simplify right side
    328,516.68x = 63,592,463,834.86
  5. Step 5: Solve for x
    x = 63,592,463,834.86/328,516.68
  6. Step 6: Final answer
    x = 193,574.54

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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.