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Finding the Fourth Proportional to 432,252.12, 648,409.32 and 166,012.64

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Solution

The fourth proportional to 432,252.12, 648,409.32 and 166,012.64 is: 249,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,252.12 : 648,409.32 = 166,012.64 : x
  2. Step 2: Convert to fraction form
    432,252.12/648,409.32 = 166,012.64/x
  3. Step 3: Cross multiply
    432,252.12x = 648,409.32 × 166,012.64
  4. Step 4: Simplify right side
    432,252.12x = 107,644,143,013.81
  5. Step 5: Solve for x
    x = 107,644,143,013.81/432,252.12
  6. Step 6: Final answer
    x = 249,030.92

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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.