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Finding the Fourth Proportional to 598,782.06, 826,298.55 and 356,940

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Solution

The fourth proportional to 598,782.06, 826,298.55 and 356,940 is: 492,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,782.06 : 826,298.55 = 356,940 : x
  2. Step 2: Convert to fraction form
    598,782.06/826,298.55 = 356,940/x
  3. Step 3: Cross multiply
    598,782.06x = 826,298.55 × 356,940
  4. Step 4: Simplify right side
    598,782.06x = 294,939,004,437
  5. Step 5: Solve for x
    x = 294,939,004,437/598,782.06
  6. Step 6: Final answer
    x = 492,564.86

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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.