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Finding the Fourth Proportional to 517,468.82, 713,804.28 and 336,301.40

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Solution

The fourth proportional to 517,468.82, 713,804.28 and 336,301.40 is: 463,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,468.82 : 713,804.28 = 336,301.40 : x
  2. Step 2: Convert to fraction form
    517,468.82/713,804.28 = 336,301.40/x
  3. Step 3: Cross multiply
    517,468.82x = 713,804.28 × 336,301.40
  4. Step 4: Simplify right side
    517,468.82x = 240,053,378,689.99
  5. Step 5: Solve for x
    x = 240,053,378,689.99/517,468.82
  6. Step 6: Final answer
    x = 463,899.21

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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.