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Finding the Fourth Proportional to 464,004.40, 696,102.60 and 264,420.40

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Solution

The fourth proportional to 464,004.40, 696,102.60 and 264,420.40 is: 396,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,004.40 : 696,102.60 = 264,420.40 : x
  2. Step 2: Convert to fraction form
    464,004.40/696,102.60 = 264,420.40/x
  3. Step 3: Cross multiply
    464,004.40x = 696,102.60 × 264,420.40
  4. Step 4: Simplify right side
    464,004.40x = 184,063,727,933.04
  5. Step 5: Solve for x
    x = 184,063,727,933.04/464,004.40
  6. Step 6: Final answer
    x = 396,685.31

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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.