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Finding the Fourth Proportional to 304,166.84, 419,752.94 and 168,209.92

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Solution

The fourth proportional to 304,166.84, 419,752.94 and 168,209.92 is: 232,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,166.84 : 419,752.94 = 168,209.92 : x
  2. Step 2: Convert to fraction form
    304,166.84/419,752.94 = 168,209.92/x
  3. Step 3: Cross multiply
    304,166.84x = 419,752.94 × 168,209.92
  4. Step 4: Simplify right side
    304,166.84x = 70,606,608,457.16
  5. Step 5: Solve for x
    x = 70,606,608,457.16/304,166.84
  6. Step 6: Final answer
    x = 232,131.18

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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.