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Finding the Fourth Proportional to 472,088.31, 651,481.95 and 257,228.40

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Solution

The fourth proportional to 472,088.31, 651,481.95 and 257,228.40 is: 354,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,088.31 : 651,481.95 = 257,228.40 : x
  2. Step 2: Convert to fraction form
    472,088.31/651,481.95 = 257,228.40/x
  3. Step 3: Cross multiply
    472,088.31x = 651,481.95 × 257,228.40
  4. Step 4: Simplify right side
    472,088.31x = 167,579,659,627.38
  5. Step 5: Solve for x
    x = 167,579,659,627.38/472,088.31
  6. Step 6: Final answer
    x = 354,975.24

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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.