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Finding the Fourth Proportional to 665,772.38, 918,821.86 and 407,648.06

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Solution

The fourth proportional to 665,772.38, 918,821.86 and 407,648.06 is: 562,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,772.38 : 918,821.86 = 407,648.06 : x
  2. Step 2: Convert to fraction form
    665,772.38/918,821.86 = 407,648.06/x
  3. Step 3: Cross multiply
    665,772.38x = 918,821.86 × 407,648.06
  4. Step 4: Simplify right side
    665,772.38x = 374,555,944,120.48
  5. Step 5: Solve for x
    x = 374,555,944,120.48/665,772.38
  6. Step 6: Final answer
    x = 562,588.59

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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.