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Finding the Fourth Proportional to 601,438.50, 829,985.13 and 333,166.50

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Solution

The fourth proportional to 601,438.50, 829,985.13 and 333,166.50 is: 459,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,438.50 : 829,985.13 = 333,166.50 : x
  2. Step 2: Convert to fraction form
    601,438.50/829,985.13 = 333,166.50/x
  3. Step 3: Cross multiply
    601,438.50x = 829,985.13 × 333,166.50
  4. Step 4: Simplify right side
    601,438.50x = 276,523,240,814.15
  5. Step 5: Solve for x
    x = 276,523,240,814.15/601,438.50
  6. Step 6: Final answer
    x = 459,769.77

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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.