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Finding the Fourth Proportional to 512,413.65, 768,638.70 and 157,427.10

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Solution

The fourth proportional to 512,413.65, 768,638.70 and 157,427.10 is: 236,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,413.65 : 768,638.70 = 157,427.10 : x
  2. Step 2: Convert to fraction form
    512,413.65/768,638.70 = 157,427.10/x
  3. Step 3: Cross multiply
    512,413.65x = 768,638.70 × 157,427.10
  4. Step 4: Simplify right side
    512,413.65x = 121,004,561,488.77
  5. Step 5: Solve for x
    x = 121,004,561,488.77/512,413.65
  6. Step 6: Final answer
    x = 236,146.25

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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.