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Finding the Fourth Proportional to 346,489.50, 519,734.26 and 83,833.50

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Solution

The fourth proportional to 346,489.50, 519,734.26 and 83,833.50 is: 125,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,489.50 : 519,734.26 = 83,833.50 : x
  2. Step 2: Convert to fraction form
    346,489.50/519,734.26 = 83,833.50/x
  3. Step 3: Cross multiply
    346,489.50x = 519,734.26 × 83,833.50
  4. Step 4: Simplify right side
    346,489.50x = 43,571,142,085.71
  5. Step 5: Solve for x
    x = 43,571,142,085.71/346,489.50
  6. Step 6: Final answer
    x = 125,750.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.