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Finding the Fourth Proportional to 562,258.56, 775,840.32 and 335,856

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Solution

The fourth proportional to 562,258.56, 775,840.32 and 335,856 is: 463,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,258.56 : 775,840.32 = 335,856 : x
  2. Step 2: Convert to fraction form
    562,258.56/775,840.32 = 335,856/x
  3. Step 3: Cross multiply
    562,258.56x = 775,840.32 × 335,856
  4. Step 4: Simplify right side
    562,258.56x = 260,570,626,513.92
  5. Step 5: Solve for x
    x = 260,570,626,513.92/562,258.56
  6. Step 6: Final answer
    x = 463,435.59

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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.