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Finding the Fourth Proportional to 520,095.40, 780,143.10 and 415,119.40

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Solution

The fourth proportional to 520,095.40, 780,143.10 and 415,119.40 is: 622,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,095.40 : 780,143.10 = 415,119.40 : x
  2. Step 2: Convert to fraction form
    520,095.40/780,143.10 = 415,119.40/x
  3. Step 3: Cross multiply
    520,095.40x = 780,143.10 × 415,119.40
  4. Step 4: Simplify right side
    520,095.40x = 323,852,535,586.14
  5. Step 5: Solve for x
    x = 323,852,535,586.14/520,095.40
  6. Step 6: Final answer
    x = 622,679.10

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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.