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Finding the Fourth Proportional to 471,957.59, 651,298.29 and 257,097.80

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Solution

The fourth proportional to 471,957.59, 651,298.29 and 257,097.80 is: 354,793.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,957.59 : 651,298.29 = 257,097.80 : x
  2. Step 2: Convert to fraction form
    471,957.59/651,298.29 = 257,097.80/x
  3. Step 3: Cross multiply
    471,957.59x = 651,298.29 × 257,097.80
  4. Step 4: Simplify right side
    471,957.59x = 167,447,354,246.27
  5. Step 5: Solve for x
    x = 167,447,354,246.27/471,957.59
  6. Step 6: Final answer
    x = 354,793.23

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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.