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Finding the Fourth Proportional to 652,950.40, 978,259.20 and 533,977.60

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Solution

The fourth proportional to 652,950.40, 978,259.20 and 533,977.60 is: 800,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,950.40 : 978,259.20 = 533,977.60 : x
  2. Step 2: Convert to fraction form
    652,950.40/978,259.20 = 533,977.60/x
  3. Step 3: Cross multiply
    652,950.40x = 978,259.20 × 533,977.60
  4. Step 4: Simplify right side
    652,950.40x = 522,368,499,793.92
  5. Step 5: Solve for x
    x = 522,368,499,793.92/652,950.40
  6. Step 6: Final answer
    x = 800,012.53

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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.