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Finding the Fourth Proportional to 304,160.95, 419,744.83 and 168,204.04

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Solution

The fourth proportional to 304,160.95, 419,744.83 and 168,204.04 is: 232,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,160.95 : 419,744.83 = 168,204.04 : x
  2. Step 2: Convert to fraction form
    304,160.95/419,744.83 = 168,204.04/x
  3. Step 3: Cross multiply
    304,160.95x = 419,744.83 × 168,204.04
  4. Step 4: Simplify right side
    304,160.95x = 70,602,776,175.11
  5. Step 5: Solve for x
    x = 70,602,776,175.11/304,160.95
  6. Step 6: Final answer
    x = 232,123.08

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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.