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Finding the Fourth Proportional to 468,671.40, 646,758.54 and 253,809.72

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Solution

The fourth proportional to 468,671.40, 646,758.54 and 253,809.72 is: 350,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,671.40 : 646,758.54 = 253,809.72 : x
  2. Step 2: Convert to fraction form
    468,671.40/646,758.54 = 253,809.72/x
  3. Step 3: Cross multiply
    468,671.40x = 646,758.54 × 253,809.72
  4. Step 4: Simplify right side
    468,671.40x = 164,153,603,945.01
  5. Step 5: Solve for x
    x = 164,153,603,945.01/468,671.40
  6. Step 6: Final answer
    x = 350,253.09

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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.