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Finding the Fourth Proportional to 304,166.34, 419,752.25 and 168,209.42

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Solution

The fourth proportional to 304,166.34, 419,752.25 and 168,209.42 is: 232,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,166.34 : 419,752.25 = 168,209.42 : x
  2. Step 2: Convert to fraction form
    304,166.34/419,752.25 = 168,209.42/x
  3. Step 3: Cross multiply
    304,166.34x = 419,752.25 × 168,209.42
  4. Step 4: Simplify right side
    304,166.34x = 70,606,282,516.20
  5. Step 5: Solve for x
    x = 70,606,282,516.20/304,166.34
  6. Step 6: Final answer
    x = 232,130.49

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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.