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Finding the Fourth Proportional to 314,406.90, 471,313.89 and 156,486.06

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Solution

The fourth proportional to 314,406.90, 471,313.89 and 156,486.06 is: 234,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,406.90 : 471,313.89 = 156,486.06 : x
  2. Step 2: Convert to fraction form
    314,406.90/471,313.89 = 156,486.06/x
  3. Step 3: Cross multiply
    314,406.90x = 471,313.89 × 156,486.06
  4. Step 4: Simplify right side
    314,406.90x = 73,754,053,669.37
  5. Step 5: Solve for x
    x = 73,754,053,669.37/314,406.90
  6. Step 6: Final answer
    x = 234,581.54

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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.