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Finding the Fourth Proportional to 328,021.40, 492,032.10 and 117,583.40

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Solution

The fourth proportional to 328,021.40, 492,032.10 and 117,583.40 is: 176,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,021.40 : 492,032.10 = 117,583.40 : x
  2. Step 2: Convert to fraction form
    328,021.40/492,032.10 = 117,583.40/x
  3. Step 3: Cross multiply
    328,021.40x = 492,032.10 × 117,583.40
  4. Step 4: Simplify right side
    328,021.40x = 57,854,807,227.14
  5. Step 5: Solve for x
    x = 57,854,807,227.14/328,021.40
  6. Step 6: Final answer
    x = 176,375.10

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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.