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Finding the Fourth Proportional to 540,826.95, 746,334.54 and 299,105.13

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Solution

The fourth proportional to 540,826.95, 746,334.54 and 299,105.13 is: 412,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,826.95 : 746,334.54 = 299,105.13 : x
  2. Step 2: Convert to fraction form
    540,826.95/746,334.54 = 299,105.13/x
  3. Step 3: Cross multiply
    540,826.95x = 746,334.54 × 299,105.13
  4. Step 4: Simplify right side
    540,826.95x = 223,232,489,610.19
  5. Step 5: Solve for x
    x = 223,232,489,610.19/540,826.95
  6. Step 6: Final answer
    x = 412,761.40

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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.