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Finding the Fourth Proportional to 468,354.86, 702,534.11 and 113,368.31

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Solution

The fourth proportional to 468,354.86, 702,534.11 and 113,368.31 is: 170,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,354.86 : 702,534.11 = 113,368.31 : x
  2. Step 2: Convert to fraction form
    468,354.86/702,534.11 = 113,368.31/x
  3. Step 3: Cross multiply
    468,354.86x = 702,534.11 × 113,368.31
  4. Step 4: Simplify right side
    468,354.86x = 79,645,104,768.05
  5. Step 5: Solve for x
    x = 79,645,104,768.05/468,354.86
  6. Step 6: Final answer
    x = 170,052.91

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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.