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Finding the Fourth Proportional to 520,021.40, 780,107.70 and 220,501.40

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Solution

The fourth proportional to 520,021.40, 780,107.70 and 220,501.40 is: 330,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,021.40 : 780,107.70 = 220,501.40 : x
  2. Step 2: Convert to fraction form
    520,021.40/780,107.70 = 220,501.40/x
  3. Step 3: Cross multiply
    520,021.40x = 780,107.70 × 220,501.40
  4. Step 4: Simplify right side
    520,021.40x = 172,014,840,000.78
  5. Step 5: Solve for x
    x = 172,014,840,000.78/520,021.40
  6. Step 6: Final answer
    x = 330,784.16

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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.