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Finding the Fourth Proportional to 430,947.84, 646,372.32 and 164,702.44

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Solution

The fourth proportional to 430,947.84, 646,372.32 and 164,702.44 is: 247,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,947.84 : 646,372.32 = 164,702.44 : x
  2. Step 2: Convert to fraction form
    430,947.84/646,372.32 = 164,702.44/x
  3. Step 3: Cross multiply
    430,947.84x = 646,372.32 × 164,702.44
  4. Step 4: Simplify right side
    430,947.84x = 106,459,098,252.46
  5. Step 5: Solve for x
    x = 106,459,098,252.46/430,947.84
  6. Step 6: Final answer
    x = 247,034.76

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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.