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Finding the Fourth Proportional to 517,299.76, 713,469.24 and 336,070.08

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Solution

The fourth proportional to 517,299.76, 713,469.24 and 336,070.08 is: 463,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,299.76 : 713,469.24 = 336,070.08 : x
  2. Step 2: Convert to fraction form
    517,299.76/713,469.24 = 336,070.08/x
  3. Step 3: Cross multiply
    517,299.76x = 713,469.24 × 336,070.08
  4. Step 4: Simplify right side
    517,299.76x = 239,775,664,564.34
  5. Step 5: Solve for x
    x = 239,775,664,564.34/517,299.76
  6. Step 6: Final answer
    x = 463,513.97

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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.