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Finding the Fourth Proportional to 463,801.20, 696,546.60 and 405,740.40

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Solution

The fourth proportional to 463,801.20, 696,546.60 and 405,740.40 is: 609,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,801.20 : 696,546.60 = 405,740.40 : x
  2. Step 2: Convert to fraction form
    463,801.20/696,546.60 = 405,740.40/x
  3. Step 3: Cross multiply
    463,801.20x = 696,546.60 × 405,740.40
  4. Step 4: Simplify right side
    463,801.20x = 282,617,096,102.64
  5. Step 5: Solve for x
    x = 282,617,096,102.64/463,801.20
  6. Step 6: Final answer
    x = 609,349.64

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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.