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Finding the Fourth Proportional to 471,925.36, 651,257.88 and 280,945.36

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Solution

The fourth proportional to 471,925.36, 651,257.88 and 280,945.36 is: 387,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,925.36 : 651,257.88 = 280,945.36 : x
  2. Step 2: Convert to fraction form
    471,925.36/651,257.88 = 280,945.36/x
  3. Step 3: Cross multiply
    471,925.36x = 651,257.88 × 280,945.36
  4. Step 4: Simplify right side
    471,925.36x = 182,967,879,549.44
  5. Step 5: Solve for x
    x = 182,967,879,549.44/471,925.36
  6. Step 6: Final answer
    x = 387,705.12

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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.