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Finding the Fourth Proportional to 517,766.14, 713,905.90 and 354,501.82

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Solution

The fourth proportional to 517,766.14, 713,905.90 and 354,501.82 is: 488,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,766.14 : 713,905.90 = 354,501.82 : x
  2. Step 2: Convert to fraction form
    517,766.14/713,905.90 = 354,501.82/x
  3. Step 3: Cross multiply
    517,766.14x = 713,905.90 × 354,501.82
  4. Step 4: Simplify right side
    517,766.14x = 253,080,940,858.74
  5. Step 5: Solve for x
    x = 253,080,940,858.74/517,766.14
  6. Step 6: Final answer
    x = 488,793.92

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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.