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Finding the Fourth Proportional to 492,356.70, 738,535.05 and 413,624.70

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Solution

The fourth proportional to 492,356.70, 738,535.05 and 413,624.70 is: 620,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,356.70 : 738,535.05 = 413,624.70 : x
  2. Step 2: Convert to fraction form
    492,356.70/738,535.05 = 413,624.70/x
  3. Step 3: Cross multiply
    492,356.70x = 738,535.05 × 413,624.70
  4. Step 4: Simplify right side
    492,356.70x = 305,476,338,495.74
  5. Step 5: Solve for x
    x = 305,476,338,495.74/492,356.70
  6. Step 6: Final answer
    x = 620,437.05

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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.