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Finding the Fourth Proportional to 407,041.86, 610,409.42 and 170,400.90

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Solution

The fourth proportional to 407,041.86, 610,409.42 and 170,400.90 is: 255,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,041.86 : 610,409.42 = 170,400.90 : x
  2. Step 2: Convert to fraction form
    407,041.86/610,409.42 = 170,400.90/x
  3. Step 3: Cross multiply
    407,041.86x = 610,409.42 × 170,400.90
  4. Step 4: Simplify right side
    407,041.86x = 104,014,314,536.48
  5. Step 5: Solve for x
    x = 104,014,314,536.48/407,041.86
  6. Step 6: Final answer
    x = 255,537.14

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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.