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Finding the Fourth Proportional to 455,348.92, 683,013.84 and 151,765.06

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Solution

The fourth proportional to 455,348.92, 683,013.84 and 151,765.06 is: 227,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,348.92 : 683,013.84 = 151,765.06 : x
  2. Step 2: Convert to fraction form
    455,348.92/683,013.84 = 151,765.06/x
  3. Step 3: Cross multiply
    455,348.92x = 683,013.84 × 151,765.06
  4. Step 4: Simplify right side
    455,348.92x = 103,657,633,811.48
  5. Step 5: Solve for x
    x = 103,657,633,811.48/455,348.92
  6. Step 6: Final answer
    x = 227,644.40

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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.