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Finding the Fourth Proportional to 464,852.50, 697,199.81 and 212,073.57

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Solution

The fourth proportional to 464,852.50, 697,199.81 and 212,073.57 is: 318,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,852.50 : 697,199.81 = 212,073.57 : x
  2. Step 2: Convert to fraction form
    464,852.50/697,199.81 = 212,073.57/x
  3. Step 3: Cross multiply
    464,852.50x = 697,199.81 × 212,073.57
  4. Step 4: Simplify right side
    464,852.50x = 147,857,652,710.02
  5. Step 5: Solve for x
    x = 147,857,652,710.02/464,852.50
  6. Step 6: Final answer
    x = 318,074.34

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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.