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Finding the Fourth Proportional to 476,443.47, 714,644.70 and 121,446.90

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Solution

The fourth proportional to 476,443.47, 714,644.70 and 121,446.90 is: 182,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,443.47 : 714,644.70 = 121,446.90 : x
  2. Step 2: Convert to fraction form
    476,443.47/714,644.70 = 121,446.90/x
  3. Step 3: Cross multiply
    476,443.47x = 714,644.70 × 121,446.90
  4. Step 4: Simplify right side
    476,443.47x = 86,791,383,416.43
  5. Step 5: Solve for x
    x = 86,791,383,416.43/476,443.47
  6. Step 6: Final answer
    x = 182,165.12

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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.