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Finding the Fourth Proportional to 434,744.70, 652,117.05 and 418,998.30

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Solution

The fourth proportional to 434,744.70, 652,117.05 and 418,998.30 is: 628,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,744.70 : 652,117.05 = 418,998.30 : x
  2. Step 2: Convert to fraction form
    434,744.70/652,117.05 = 418,998.30/x
  3. Step 3: Cross multiply
    434,744.70x = 652,117.05 × 418,998.30
  4. Step 4: Simplify right side
    434,744.70x = 273,235,935,351.02
  5. Step 5: Solve for x
    x = 273,235,935,351.02/434,744.70
  6. Step 6: Final answer
    x = 628,497.45

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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.