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Finding the Fourth Proportional to 442,019.86, 610,060.80 and 260,776.34

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Solution

The fourth proportional to 442,019.86, 610,060.80 and 260,776.34 is: 359,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,019.86 : 610,060.80 = 260,776.34 : x
  2. Step 2: Convert to fraction form
    442,019.86/610,060.80 = 260,776.34/x
  3. Step 3: Cross multiply
    442,019.86x = 610,060.80 × 260,776.34
  4. Step 4: Simplify right side
    442,019.86x = 159,089,422,601.47
  5. Step 5: Solve for x
    x = 159,089,422,601.47/442,019.86
  6. Step 6: Final answer
    x = 359,914.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.