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Finding the Fourth Proportional to 434,902.60, 652,386.30 and 154,383.40

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Solution

The fourth proportional to 434,902.60, 652,386.30 and 154,383.40 is: 231,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,902.60 : 652,386.30 = 154,383.40 : x
  2. Step 2: Convert to fraction form
    434,902.60/652,386.30 = 154,383.40/x
  3. Step 3: Cross multiply
    434,902.60x = 652,386.30 × 154,383.40
  4. Step 4: Simplify right side
    434,902.60x = 100,717,615,107.42
  5. Step 5: Solve for x
    x = 100,717,615,107.42/434,902.60
  6. Step 6: Final answer
    x = 231,586.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.