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Finding the Fourth Proportional to 314,382.06, 471,428.30 and 101,110.48

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Solution

The fourth proportional to 314,382.06, 471,428.30 and 101,110.48 is: 151,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,382.06 : 471,428.30 = 101,110.48 : x
  2. Step 2: Convert to fraction form
    314,382.06/471,428.30 = 101,110.48/x
  3. Step 3: Cross multiply
    314,382.06x = 471,428.30 × 101,110.48
  4. Step 4: Simplify right side
    314,382.06x = 47,666,340,772.79
  5. Step 5: Solve for x
    x = 47,666,340,772.79/314,382.06
  6. Step 6: Final answer
    x = 151,619.15

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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.