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Finding the Fourth Proportional to 520,055.80, 780,083.70 and 460,958.20

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Solution

The fourth proportional to 520,055.80, 780,083.70 and 460,958.20 is: 691,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,055.80 : 780,083.70 = 460,958.20 : x
  2. Step 2: Convert to fraction form
    520,055.80/780,083.70 = 460,958.20/x
  3. Step 3: Cross multiply
    520,055.80x = 780,083.70 × 460,958.20
  4. Step 4: Simplify right side
    520,055.80x = 359,585,978,201.34
  5. Step 5: Solve for x
    x = 359,585,978,201.34/520,055.80
  6. Step 6: Final answer
    x = 691,437.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.