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Finding the Fourth Proportional to 304,097.95, 419,638.21 and 168,123.97

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Solution

The fourth proportional to 304,097.95, 419,638.21 and 168,123.97 is: 232,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,097.95 : 419,638.21 = 168,123.97 : x
  2. Step 2: Convert to fraction form
    304,097.95/419,638.21 = 168,123.97/x
  3. Step 3: Cross multiply
    304,097.95x = 419,638.21 × 168,123.97
  4. Step 4: Simplify right side
    304,097.95x = 70,551,241,828.89
  5. Step 5: Solve for x
    x = 70,551,241,828.89/304,097.95
  6. Step 6: Final answer
    x = 232,001.70

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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.