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Finding the Fourth Proportional to 713,296.60, 1,069,558.54 and 313,469.32

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Solution

The fourth proportional to 713,296.60, 1,069,558.54 and 313,469.32 is: 470,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,296.60 : 1,069,558.54 = 313,469.32 : x
  2. Step 2: Convert to fraction form
    713,296.60/1,069,558.54 = 313,469.32/x
  3. Step 3: Cross multiply
    713,296.60x = 1,069,558.54 × 313,469.32
  4. Step 4: Simplify right side
    713,296.60x = 335,273,788,233.99
  5. Step 5: Solve for x
    x = 335,273,788,233.99/713,296.60
  6. Step 6: Final answer
    x = 470,034.19

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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.