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Finding the Fourth Proportional to 509,997.60, 763,246.80 and 468,007.20

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Solution

The fourth proportional to 509,997.60, 763,246.80 and 468,007.20 is: 700,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,997.60 : 763,246.80 = 468,007.20 : x
  2. Step 2: Convert to fraction form
    509,997.60/763,246.80 = 468,007.20/x
  3. Step 3: Cross multiply
    509,997.60x = 763,246.80 × 468,007.20
  4. Step 4: Simplify right side
    509,997.60x = 357,204,997,776.96
  5. Step 5: Solve for x
    x = 357,204,997,776.96/509,997.60
  6. Step 6: Final answer
    x = 700,405.25

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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.