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Finding the Fourth Proportional to 520,057.40, 780,086.10 and 319,728.20

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Solution

The fourth proportional to 520,057.40, 780,086.10 and 319,728.20 is: 479,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,057.40 : 780,086.10 = 319,728.20 : x
  2. Step 2: Convert to fraction form
    520,057.40/780,086.10 = 319,728.20/x
  3. Step 3: Cross multiply
    520,057.40x = 780,086.10 × 319,728.20
  4. Step 4: Simplify right side
    520,057.40x = 249,415,524,598.02
  5. Step 5: Solve for x
    x = 249,415,524,598.02/520,057.40
  6. Step 6: Final answer
    x = 479,592.30

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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.