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Finding the Fourth Proportional to 462,140, 693,210 and 166,652

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Solution

The fourth proportional to 462,140, 693,210 and 166,652 is: 249,978

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,140 : 693,210 = 166,652 : x
  2. Step 2: Convert to fraction form
    462,140/693,210 = 166,652/x
  3. Step 3: Cross multiply
    462,140x = 693,210 × 166,652
  4. Step 4: Simplify right side
    462,140x = 115,524,832,920
  5. Step 5: Solve for x
    x = 115,524,832,920/462,140
  6. Step 6: Final answer
    x = 249,978

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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.