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Finding the Fourth Proportional to 314,051.19, 433,432.67 and 178,134.41

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Solution

The fourth proportional to 314,051.19, 433,432.67 and 178,134.41 is: 245,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,051.19 : 433,432.67 = 178,134.41 : x
  2. Step 2: Convert to fraction form
    314,051.19/433,432.67 = 178,134.41/x
  3. Step 3: Cross multiply
    314,051.19x = 433,432.67 × 178,134.41
  4. Step 4: Simplify right side
    314,051.19x = 77,209,269,887.34
  5. Step 5: Solve for x
    x = 77,209,269,887.34/314,051.19
  6. Step 6: Final answer
    x = 245,849.31

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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.