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Finding the Fourth Proportional to 520,038.30, 780,057.45 and 460,940.70

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Solution

The fourth proportional to 520,038.30, 780,057.45 and 460,940.70 is: 691,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,038.30 : 780,057.45 = 460,940.70 : x
  2. Step 2: Convert to fraction form
    520,038.30/780,057.45 = 460,940.70/x
  3. Step 3: Cross multiply
    520,038.30x = 780,057.45 × 460,940.70
  4. Step 4: Simplify right side
    520,038.30x = 359,560,227,043.22
  5. Step 5: Solve for x
    x = 359,560,227,043.22/520,038.30
  6. Step 6: Final answer
    x = 691,411.05

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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.