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Finding the Fourth Proportional to 561,527.40, 774,687.06 and 346,294.20

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Solution

The fourth proportional to 561,527.40, 774,687.06 and 346,294.20 is: 477,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,527.40 : 774,687.06 = 346,294.20 : x
  2. Step 2: Convert to fraction form
    561,527.40/774,687.06 = 346,294.20/x
  3. Step 3: Cross multiply
    561,527.40x = 774,687.06 × 346,294.20
  4. Step 4: Simplify right side
    561,527.40x = 268,269,635,693.05
  5. Step 5: Solve for x
    x = 268,269,635,693.05/561,527.40
  6. Step 6: Final answer
    x = 477,749.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.