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Finding the Fourth Proportional to 405,087.80, 607,631.70 and 310,609.40

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Solution

The fourth proportional to 405,087.80, 607,631.70 and 310,609.40 is: 465,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,087.80 : 607,631.70 = 310,609.40 : x
  2. Step 2: Convert to fraction form
    405,087.80/607,631.70 = 310,609.40/x
  3. Step 3: Cross multiply
    405,087.80x = 607,631.70 × 310,609.40
  4. Step 4: Simplify right side
    405,087.80x = 188,736,117,757.98
  5. Step 5: Solve for x
    x = 188,736,117,757.98/405,087.80
  6. Step 6: Final answer
    x = 465,914.10

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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.