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Finding the Fourth Proportional to 517,325.10, 713,970.78 and 313,370.04

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Solution

The fourth proportional to 517,325.10, 713,970.78 and 313,370.04 is: 432,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,325.10 : 713,970.78 = 313,370.04 : x
  2. Step 2: Convert to fraction form
    517,325.10/713,970.78 = 313,370.04/x
  3. Step 3: Cross multiply
    517,325.10x = 713,970.78 × 313,370.04
  4. Step 4: Simplify right side
    517,325.10x = 223,737,051,887.43
  5. Step 5: Solve for x
    x = 223,737,051,887.43/517,325.10
  6. Step 6: Final answer
    x = 432,488.30

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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.