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Finding the Fourth Proportional to 566,946.74, 782,388.62 and 312,297.32

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Solution

The fourth proportional to 566,946.74, 782,388.62 and 312,297.32 is: 430,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,946.74 : 782,388.62 = 312,297.32 : x
  2. Step 2: Convert to fraction form
    566,946.74/782,388.62 = 312,297.32/x
  3. Step 3: Cross multiply
    566,946.74x = 782,388.62 × 312,297.32
  4. Step 4: Simplify right side
    566,946.74x = 244,337,870,790.10
  5. Step 5: Solve for x
    x = 244,337,870,790.10/566,946.74
  6. Step 6: Final answer
    x = 430,971.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.