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Finding the Fourth Proportional to 471,889.76, 651,208.80 and 257,029.16

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Solution

The fourth proportional to 471,889.76, 651,208.80 and 257,029.16 is: 354,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,889.76 : 651,208.80 = 257,029.16 : x
  2. Step 2: Convert to fraction form
    471,889.76/651,208.80 = 257,029.16/x
  3. Step 3: Cross multiply
    471,889.76x = 651,208.80 × 257,029.16
  4. Step 4: Simplify right side
    471,889.76x = 167,379,650,848.61
  5. Step 5: Solve for x
    x = 167,379,650,848.61/471,889.76
  6. Step 6: Final answer
    x = 354,700.75

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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.