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Finding the Fourth Proportional to 517,324.10, 713,969.40 and 313,369.04

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Solution

The fourth proportional to 517,324.10, 713,969.40 and 313,369.04 is: 432,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,324.10 : 713,969.40 = 313,369.04 : x
  2. Step 2: Convert to fraction form
    517,324.10/713,969.40 = 313,369.04/x
  3. Step 3: Cross multiply
    517,324.10x = 713,969.40 × 313,369.04
  4. Step 4: Simplify right side
    517,324.10x = 223,735,905,467.38
  5. Step 5: Solve for x
    x = 223,735,905,467.38/517,324.10
  6. Step 6: Final answer
    x = 432,486.92

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1.5x scale

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.