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Finding the Fourth Proportional to 282,655.80, 423,983.70 and 164,460.60

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Solution

The fourth proportional to 282,655.80, 423,983.70 and 164,460.60 is: 246,690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,655.80 : 423,983.70 = 164,460.60 : x
  2. Step 2: Convert to fraction form
    282,655.80/423,983.70 = 164,460.60/x
  3. Step 3: Cross multiply
    282,655.80x = 423,983.70 × 164,460.60
  4. Step 4: Simplify right side
    282,655.80x = 69,728,613,692.22
  5. Step 5: Solve for x
    x = 69,728,613,692.22/282,655.80
  6. Step 6: Final answer
    x = 246,690.90

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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.