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Finding the Fourth Proportional to 297,714.60, 447,090.30 and 157,746.60

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Solution

The fourth proportional to 297,714.60, 447,090.30 and 157,746.60 is: 236,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,714.60 : 447,090.30 = 157,746.60 : x
  2. Step 2: Convert to fraction form
    297,714.60/447,090.30 = 157,746.60/x
  3. Step 3: Cross multiply
    297,714.60x = 447,090.30 × 157,746.60
  4. Step 4: Simplify right side
    297,714.60x = 70,526,974,717.98
  5. Step 5: Solve for x
    x = 70,526,974,717.98/297,714.60
  6. Step 6: Final answer
    x = 236,894.58

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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.