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Finding the Fourth Proportional to 702,702.32, 969,729.52 and 380,412.41

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Solution

The fourth proportional to 702,702.32, 969,729.52 and 380,412.41 is: 524,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,702.32 : 969,729.52 = 380,412.41 : x
  2. Step 2: Convert to fraction form
    702,702.32/969,729.52 = 380,412.41/x
  3. Step 3: Cross multiply
    702,702.32x = 969,729.52 × 380,412.41
  4. Step 4: Simplify right side
    702,702.32x = 368,897,137,951.67
  5. Step 5: Solve for x
    x = 368,897,137,951.67/702,702.32
  6. Step 6: Final answer
    x = 524,969.29

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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.