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Finding the Fourth Proportional to 516,998.73, 713,107.56 and 335,386.10

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Solution

The fourth proportional to 516,998.73, 713,107.56 and 335,386.10 is: 462,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,998.73 : 713,107.56 = 335,386.10 : x
  2. Step 2: Convert to fraction form
    516,998.73/713,107.56 = 335,386.10/x
  3. Step 3: Cross multiply
    516,998.73x = 713,107.56 × 335,386.10
  4. Step 4: Simplify right side
    516,998.73x = 239,166,363,428.92
  5. Step 5: Solve for x
    x = 239,166,363,428.92/516,998.73
  6. Step 6: Final answer
    x = 462,605.32

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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.