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Finding the Fourth Proportional to 509,466.96, 763,035.12 and 243,414.36

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Solution

The fourth proportional to 509,466.96, 763,035.12 and 243,414.36 is: 364,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,466.96 : 763,035.12 = 243,414.36 : x
  2. Step 2: Convert to fraction form
    509,466.96/763,035.12 = 243,414.36/x
  3. Step 3: Cross multiply
    509,466.96x = 763,035.12 × 243,414.36
  4. Step 4: Simplify right side
    509,466.96x = 185,733,705,392.32
  5. Step 5: Solve for x
    x = 185,733,705,392.32/509,466.96
  6. Step 6: Final answer
    x = 364,564.77

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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.