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Finding the Fourth Proportional to 314,683.06, 471,922.51 and 104,264.50

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Solution

The fourth proportional to 314,683.06, 471,922.51 and 104,264.50 is: 156,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,683.06 : 471,922.51 = 104,264.50 : x
  2. Step 2: Convert to fraction form
    314,683.06/471,922.51 = 104,264.50/x
  3. Step 3: Cross multiply
    314,683.06x = 471,922.51 × 104,264.50
  4. Step 4: Simplify right side
    314,683.06x = 49,204,764,543.90
  5. Step 5: Solve for x
    x = 49,204,764,543.90/314,683.06
  6. Step 6: Final answer
    x = 156,362.93

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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.