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Finding the Fourth Proportional to 413,564.40, 620,346.60 and 396,068.40

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Solution

The fourth proportional to 413,564.40, 620,346.60 and 396,068.40 is: 594,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,564.40 : 620,346.60 = 396,068.40 : x
  2. Step 2: Convert to fraction form
    413,564.40/620,346.60 = 396,068.40/x
  3. Step 3: Cross multiply
    413,564.40x = 620,346.60 × 396,068.40
  4. Step 4: Simplify right side
    413,564.40x = 245,699,685,307.44
  5. Step 5: Solve for x
    x = 245,699,685,307.44/413,564.40
  6. Step 6: Final answer
    x = 594,102.60

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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.