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Finding the Fourth Proportional to 309,066.60, 463,652.24 and 106,607.74

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Solution

The fourth proportional to 309,066.60, 463,652.24 and 106,607.74 is: 159,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,066.60 : 463,652.24 = 106,607.74 : x
  2. Step 2: Convert to fraction form
    309,066.60/463,652.24 = 106,607.74/x
  3. Step 3: Cross multiply
    309,066.60x = 463,652.24 × 106,607.74
  4. Step 4: Simplify right side
    309,066.60x = 49,428,917,452.34
  5. Step 5: Solve for x
    x = 49,428,917,452.34/309,066.60
  6. Step 6: Final answer
    x = 159,929.66

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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.