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Finding the Fourth Proportional to 520,133.40, 780,200.10 and 319,804.20

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Solution

The fourth proportional to 520,133.40, 780,200.10 and 319,804.20 is: 479,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,133.40 : 780,200.10 = 319,804.20 : x
  2. Step 2: Convert to fraction form
    520,133.40/780,200.10 = 319,804.20/x
  3. Step 3: Cross multiply
    520,133.40x = 780,200.10 × 319,804.20
  4. Step 4: Simplify right side
    520,133.40x = 249,511,268,820.42
  5. Step 5: Solve for x
    x = 249,511,268,820.42/520,133.40
  6. Step 6: Final answer
    x = 479,706.30

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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.