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Finding the Fourth Proportional to 174,492.77, 261,708.01 and 46,409.78

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Solution

The fourth proportional to 174,492.77, 261,708.01 and 46,409.78 is: 69,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,492.77 : 261,708.01 = 46,409.78 : x
  2. Step 2: Convert to fraction form
    174,492.77/261,708.01 = 46,409.78/x
  3. Step 3: Cross multiply
    174,492.77x = 261,708.01 × 46,409.78
  4. Step 4: Simplify right side
    174,492.77x = 12,145,811,168.34
  5. Step 5: Solve for x
    x = 12,145,811,168.34/174,492.77
  6. Step 6: Final answer
    x = 69,606.39

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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.