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Finding the Fourth Proportional to 346,471.50, 519,707.25 and 83,815.50

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Solution

The fourth proportional to 346,471.50, 519,707.25 and 83,815.50 is: 125,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,471.50 : 519,707.25 = 83,815.50 : x
  2. Step 2: Convert to fraction form
    346,471.50/519,707.25 = 83,815.50/x
  3. Step 3: Cross multiply
    346,471.50x = 519,707.25 × 83,815.50
  4. Step 4: Simplify right side
    346,471.50x = 43,559,523,012.38
  5. Step 5: Solve for x
    x = 43,559,523,012.38/346,471.50
  6. Step 6: Final answer
    x = 125,723.25

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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.