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Finding the Fourth Proportional to 651,851.20, 978,214.20 and 385,328.80

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Solution

The fourth proportional to 651,851.20, 978,214.20 and 385,328.80 is: 578,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,851.20 : 978,214.20 = 385,328.80 : x
  2. Step 2: Convert to fraction form
    651,851.20/978,214.20 = 385,328.80/x
  3. Step 3: Cross multiply
    651,851.20x = 978,214.20 × 385,328.80
  4. Step 4: Simplify right side
    651,851.20x = 376,934,103,828.96
  5. Step 5: Solve for x
    x = 376,934,103,828.96/651,851.20
  6. Step 6: Final answer
    x = 578,251.76

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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.