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Finding the Fourth Proportional to 584,714.02, 876,997.05 and 185,358.64

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Solution

The fourth proportional to 584,714.02, 876,997.05 and 185,358.64 is: 278,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,714.02 : 876,997.05 = 185,358.64 : x
  2. Step 2: Convert to fraction form
    584,714.02/876,997.05 = 185,358.64/x
  3. Step 3: Cross multiply
    584,714.02x = 876,997.05 × 185,358.64
  4. Step 4: Simplify right side
    584,714.02x = 162,558,980,472.01
  5. Step 5: Solve for x
    x = 162,558,980,472.01/584,714.02
  6. Step 6: Final answer
    x = 278,014.51

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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.