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Finding the Fourth Proportional to 475,959.87, 714,126.71 and 209,533.46

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Solution

The fourth proportional to 475,959.87, 714,126.71 and 209,533.46 is: 314,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,959.87 : 714,126.71 = 209,533.46 : x
  2. Step 2: Convert to fraction form
    475,959.87/714,126.71 = 209,533.46/x
  3. Step 3: Cross multiply
    475,959.87x = 714,126.71 × 209,533.46
  4. Step 4: Simplify right side
    475,959.87x = 149,633,437,377.92
  5. Step 5: Solve for x
    x = 149,633,437,377.92/475,959.87
  6. Step 6: Final answer
    x = 314,382.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.