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Finding the Fourth Proportional to 1,278,702.32, 1,764,605.54 and 705,738.38

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Solution

The fourth proportional to 1,278,702.32, 1,764,605.54 and 705,738.38 is: 973,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,702.32 : 1,764,605.54 = 705,738.38 : x
  2. Step 2: Convert to fraction form
    1,278,702.32/1,764,605.54 = 705,738.38/x
  3. Step 3: Cross multiply
    1,278,702.32x = 1,764,605.54 × 705,738.38
  4. Step 4: Simplify right side
    1,278,702.32x = 1,245,349,848,079.94
  5. Step 5: Solve for x
    x = 1,245,349,848,079.94/1,278,702.32
  6. Step 6: Final answer
    x = 973,916.94

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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.