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Finding the Fourth Proportional to 517,763.14, 713,901.76 and 354,498.82

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Solution

The fourth proportional to 517,763.14, 713,901.76 and 354,498.82 is: 488,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,763.14 : 713,901.76 = 354,498.82 : x
  2. Step 2: Convert to fraction form
    517,763.14/713,901.76 = 354,498.82/x
  3. Step 3: Cross multiply
    517,763.14x = 713,901.76 × 354,498.82
  4. Step 4: Simplify right side
    517,763.14x = 253,077,331,515.92
  5. Step 5: Solve for x
    x = 253,077,331,515.92/517,763.14
  6. Step 6: Final answer
    x = 488,789.78

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1.5x scale

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.