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Finding the Fourth Proportional to 465,217.54, 697,709.66 and 340,328.50

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Solution

The fourth proportional to 465,217.54, 697,709.66 and 340,328.50 is: 510,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,217.54 : 697,709.66 = 340,328.50 : x
  2. Step 2: Convert to fraction form
    465,217.54/697,709.66 = 340,328.50/x
  3. Step 3: Cross multiply
    465,217.54x = 697,709.66 × 340,328.50
  4. Step 4: Simplify right side
    465,217.54x = 237,450,482,023.31
  5. Step 5: Solve for x
    x = 237,450,482,023.31/465,217.54
  6. Step 6: Final answer
    x = 510,407.42

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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.