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Finding the Fourth Proportional to 430,764.77, 646,131.15 and 174,588.50

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Solution

The fourth proportional to 430,764.77, 646,131.15 and 174,588.50 is: 261,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,764.77 : 646,131.15 = 174,588.50 : x
  2. Step 2: Convert to fraction form
    430,764.77/646,131.15 = 174,588.50/x
  3. Step 3: Cross multiply
    430,764.77x = 646,131.15 × 174,588.50
  4. Step 4: Simplify right side
    430,764.77x = 112,807,065,051.12
  5. Step 5: Solve for x
    x = 112,807,065,051.12/430,764.77
  6. Step 6: Final answer
    x = 261,876.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.