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Finding the Fourth Proportional to 476,111.86, 714,447.09 and 176,800.26

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Solution

The fourth proportional to 476,111.86, 714,447.09 and 176,800.26 is: 265,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,111.86 : 714,447.09 = 176,800.26 : x
  2. Step 2: Convert to fraction form
    476,111.86/714,447.09 = 176,800.26/x
  3. Step 3: Cross multiply
    476,111.86x = 714,447.09 × 176,800.26
  4. Step 4: Simplify right side
    476,111.86x = 126,314,431,268.24
  5. Step 5: Solve for x
    x = 126,314,431,268.24/476,111.86
  6. Step 6: Final answer
    x = 265,304.11

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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.