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Finding the Fourth Proportional to 648,715.77, 973,071.27 and 175,401

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Solution

The fourth proportional to 648,715.77, 973,071.27 and 175,401 is: 263,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,715.77 : 973,071.27 = 175,401 : x
  2. Step 2: Convert to fraction form
    648,715.77/973,071.27 = 175,401/x
  3. Step 3: Cross multiply
    648,715.77x = 973,071.27 × 175,401
  4. Step 4: Simplify right side
    648,715.77x = 170,677,673,829.27
  5. Step 5: Solve for x
    x = 170,677,673,829.27/648,715.77
  6. Step 6: Final answer
    x = 263,100.86

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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.