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Finding the Fourth Proportional to 471,476.08, 650,583.72 and 277,871.20

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Solution

The fourth proportional to 471,476.08, 650,583.72 and 277,871.20 is: 383,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,476.08 : 650,583.72 = 277,871.20 : x
  2. Step 2: Convert to fraction form
    471,476.08/650,583.72 = 277,871.20/x
  3. Step 3: Cross multiply
    471,476.08x = 650,583.72 × 277,871.20
  4. Step 4: Simplify right side
    471,476.08x = 180,778,478,976.86
  5. Step 5: Solve for x
    x = 180,778,478,976.86/471,476.08
  6. Step 6: Final answer
    x = 383,430.86

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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.