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Finding the Fourth Proportional to 328,041.42, 492,212.05 and 148,174.93

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Solution

The fourth proportional to 328,041.42, 492,212.05 and 148,174.93 is: 222,330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,041.42 : 492,212.05 = 148,174.93 : x
  2. Step 2: Convert to fraction form
    328,041.42/492,212.05 = 148,174.93/x
  3. Step 3: Cross multiply
    328,041.42x = 492,212.05 × 148,174.93
  4. Step 4: Simplify right side
    328,041.42x = 72,933,486,053.91
  5. Step 5: Solve for x
    x = 72,933,486,053.91/328,041.42
  6. Step 6: Final answer
    x = 222,330.12

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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.