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Finding the Fourth Proportional to 470,262.36, 705,381.21 and 166,652.10

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Solution

The fourth proportional to 470,262.36, 705,381.21 and 166,652.10 is: 249,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,262.36 : 705,381.21 = 166,652.10 : x
  2. Step 2: Convert to fraction form
    470,262.36/705,381.21 = 166,652.10/x
  3. Step 3: Cross multiply
    470,262.36x = 705,381.21 × 166,652.10
  4. Step 4: Simplify right side
    470,262.36x = 117,553,259,947.04
  5. Step 5: Solve for x
    x = 117,553,259,947.04/470,262.36
  6. Step 6: Final answer
    x = 249,973.78

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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.