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Finding the Fourth Proportional to 307,652.12, 461,476.11 and 165,564.25

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Solution

The fourth proportional to 307,652.12, 461,476.11 and 165,564.25 is: 248,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,652.12 : 461,476.11 = 165,564.25 : x
  2. Step 2: Convert to fraction form
    307,652.12/461,476.11 = 165,564.25/x
  3. Step 3: Cross multiply
    307,652.12x = 461,476.11 × 165,564.25
  4. Step 4: Simplify right side
    307,652.12x = 76,403,946,045.07
  5. Step 5: Solve for x
    x = 76,403,946,045.07/307,652.12
  6. Step 6: Final answer
    x = 248,345.26

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1.5x scale

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.