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Finding the Fourth Proportional to 354,934.98, 529,685.87 and 317,069.78

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Solution

The fourth proportional to 354,934.98, 529,685.87 and 317,069.78 is: 473,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,934.98 : 529,685.87 = 317,069.78 : x
  2. Step 2: Convert to fraction form
    354,934.98/529,685.87 = 317,069.78/x
  3. Step 3: Cross multiply
    354,934.98x = 529,685.87 × 317,069.78
  4. Step 4: Simplify right side
    354,934.98x = 167,947,378,036.23
  5. Step 5: Solve for x
    x = 167,947,378,036.23/354,934.98
  6. Step 6: Final answer
    x = 473,177.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.