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Finding the Fourth Proportional to 551,567.60, 827,252.76 and 146,762

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Solution

The fourth proportional to 551,567.60, 827,252.76 and 146,762 is: 220,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,567.60 : 827,252.76 = 146,762 : x
  2. Step 2: Convert to fraction form
    551,567.60/827,252.76 = 146,762/x
  3. Step 3: Cross multiply
    551,567.60x = 827,252.76 × 146,762
  4. Step 4: Simplify right side
    551,567.60x = 121,409,269,563.12
  5. Step 5: Solve for x
    x = 121,409,269,563.12/551,567.60
  6. Step 6: Final answer
    x = 220,116.75

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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.