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Finding the Fourth Proportional to 507,413.50, 761,054.64 and 241,343.08

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Solution

The fourth proportional to 507,413.50, 761,054.64 and 241,343.08 is: 361,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,413.50 : 761,054.64 = 241,343.08 : x
  2. Step 2: Convert to fraction form
    507,413.50/761,054.64 = 241,343.08/x
  3. Step 3: Cross multiply
    507,413.50x = 761,054.64 × 241,343.08
  4. Step 4: Simplify right side
    507,413.50x = 183,675,269,659.18
  5. Step 5: Solve for x
    x = 183,675,269,659.18/507,413.50
  6. Step 6: Final answer
    x = 361,983.41

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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.