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Finding the Fourth Proportional to 357,354.78, 535,918.49 and 117,413.37

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Solution

The fourth proportional to 357,354.78, 535,918.49 and 117,413.37 is: 176,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,354.78 : 535,918.49 = 117,413.37 : x
  2. Step 2: Convert to fraction form
    357,354.78/535,918.49 = 117,413.37/x
  3. Step 3: Cross multiply
    357,354.78x = 535,918.49 × 117,413.37
  4. Step 4: Simplify right side
    357,354.78x = 62,923,995,369.14
  5. Step 5: Solve for x
    x = 62,923,995,369.14/357,354.78
  6. Step 6: Final answer
    x = 176,082.70

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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.