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Finding the Fourth Proportional to 517,909.43, 714,143.78 and 354,592.81

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Solution

The fourth proportional to 517,909.43, 714,143.78 and 354,592.81 is: 488,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,909.43 : 714,143.78 = 354,592.81 : x
  2. Step 2: Convert to fraction form
    517,909.43/714,143.78 = 354,592.81/x
  3. Step 3: Cross multiply
    517,909.43x = 714,143.78 × 354,592.81
  4. Step 4: Simplify right side
    517,909.43x = 253,230,251,653.54
  5. Step 5: Solve for x
    x = 253,230,251,653.54/517,909.43
  6. Step 6: Final answer
    x = 488,946.98

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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.