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Finding the Fourth Proportional to 304,313.63, 419,965.17 and 168,345.23

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Solution

The fourth proportional to 304,313.63, 419,965.17 and 168,345.23 is: 232,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,313.63 : 419,965.17 = 168,345.23 : x
  2. Step 2: Convert to fraction form
    304,313.63/419,965.17 = 168,345.23/x
  3. Step 3: Cross multiply
    304,313.63x = 419,965.17 × 168,345.23
  4. Step 4: Simplify right side
    304,313.63x = 70,699,133,135.64
  5. Step 5: Solve for x
    x = 70,699,133,135.64/304,313.63
  6. Step 6: Final answer
    x = 232,323.26

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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.