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Finding the Fourth Proportional to 433,542.30, 649,471.85 and 319,483.07

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Solution

The fourth proportional to 433,542.30, 649,471.85 and 319,483.07 is: 478,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,542.30 : 649,471.85 = 319,483.07 : x
  2. Step 2: Convert to fraction form
    433,542.30/649,471.85 = 319,483.07/x
  3. Step 3: Cross multiply
    433,542.30x = 649,471.85 × 319,483.07
  4. Step 4: Simplify right side
    433,542.30x = 207,495,255,671.81
  5. Step 5: Solve for x
    x = 207,495,255,671.81/433,542.30
  6. Step 6: Final answer
    x = 478,604.41

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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.