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Finding the Fourth Proportional to 402,822.72, 603,840 and 166,364.64

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Solution

The fourth proportional to 402,822.72, 603,840 and 166,364.64 is: 249,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,822.72 : 603,840 = 166,364.64 : x
  2. Step 2: Convert to fraction form
    402,822.72/603,840 = 166,364.64/x
  3. Step 3: Cross multiply
    402,822.72x = 603,840 × 166,364.64
  4. Step 4: Simplify right side
    402,822.72x = 100,457,624,217.60
  5. Step 5: Solve for x
    x = 100,457,624,217.60/402,822.72
  6. Step 6: Final answer
    x = 249,384.21

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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.