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Finding the Fourth Proportional to 646,697.76, 892,430.61 and 405,113.58

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Solution

The fourth proportional to 646,697.76, 892,430.61 and 405,113.58 is: 559,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,697.76 : 892,430.61 = 405,113.58 : x
  2. Step 2: Convert to fraction form
    646,697.76/892,430.61 = 405,113.58/x
  3. Step 3: Cross multiply
    646,697.76x = 892,430.61 × 405,113.58
  4. Step 4: Simplify right side
    646,697.76x = 361,535,759,318.68
  5. Step 5: Solve for x
    x = 361,535,759,318.68/646,697.76
  6. Step 6: Final answer
    x = 559,049.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.