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Finding the Fourth Proportional to 433,013.54, 649,505.73 and 152,523.50

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Solution

The fourth proportional to 433,013.54, 649,505.73 and 152,523.50 is: 228,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,013.54 : 649,505.73 = 152,523.50 : x
  2. Step 2: Convert to fraction form
    433,013.54/649,505.73 = 152,523.50/x
  3. Step 3: Cross multiply
    433,013.54x = 649,505.73 × 152,523.50
  4. Step 4: Simplify right side
    433,013.54x = 99,064,887,209.66
  5. Step 5: Solve for x
    x = 99,064,887,209.66/433,013.54
  6. Step 6: Final answer
    x = 228,780.11

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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.