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Finding the Fourth Proportional to 433,533.60, 649,378.80 and 284,234.40

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Solution

The fourth proportional to 433,533.60, 649,378.80 and 284,234.40 is: 425,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,533.60 : 649,378.80 = 284,234.40 : x
  2. Step 2: Convert to fraction form
    433,533.60/649,378.80 = 284,234.40/x
  3. Step 3: Cross multiply
    433,533.60x = 649,378.80 × 284,234.40
  4. Step 4: Simplify right side
    433,533.60x = 184,575,793,590.72
  5. Step 5: Solve for x
    x = 184,575,793,590.72/433,533.60
  6. Step 6: Final answer
    x = 425,747.38

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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.