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Finding the Fourth Proportional to 328,932, 493,476 and 107,316

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Solution

The fourth proportional to 328,932, 493,476 and 107,316 is: 160,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,932 : 493,476 = 107,316 : x
  2. Step 2: Convert to fraction form
    328,932/493,476 = 107,316/x
  3. Step 3: Cross multiply
    328,932x = 493,476 × 107,316
  4. Step 4: Simplify right side
    328,932x = 52,957,870,416
  5. Step 5: Solve for x
    x = 52,957,870,416/328,932
  6. Step 6: Final answer
    x = 160,999.45

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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.