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Finding the Fourth Proportional to 432,858.60, 648,980.70 and 166,516.20

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Solution

The fourth proportional to 432,858.60, 648,980.70 and 166,516.20 is: 249,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,858.60 : 648,980.70 = 166,516.20 : x
  2. Step 2: Convert to fraction form
    432,858.60/648,980.70 = 166,516.20/x
  3. Step 3: Cross multiply
    432,858.60x = 648,980.70 × 166,516.20
  4. Step 4: Simplify right side
    432,858.60x = 108,065,800,037.34
  5. Step 5: Solve for x
    x = 108,065,800,037.34/432,858.60
  6. Step 6: Final answer
    x = 249,656.12

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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.