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Finding the Fourth Proportional to 472,088.25, 651,481.86 and 257,228.34

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Solution

The fourth proportional to 472,088.25, 651,481.86 and 257,228.34 is: 354,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,088.25 : 651,481.86 = 257,228.34 : x
  2. Step 2: Convert to fraction form
    472,088.25/651,481.86 = 257,228.34/x
  3. Step 3: Cross multiply
    472,088.25x = 651,481.86 × 257,228.34
  4. Step 4: Simplify right side
    472,088.25x = 167,579,597,387.91
  5. Step 5: Solve for x
    x = 167,579,597,387.91/472,088.25
  6. Step 6: Final answer
    x = 354,975.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.