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Finding the Fourth Proportional to 470,644.01, 706,255.76 and 186,286.15

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Solution

The fourth proportional to 470,644.01, 706,255.76 and 186,286.15 is: 279,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,644.01 : 706,255.76 = 186,286.15 : x
  2. Step 2: Convert to fraction form
    470,644.01/706,255.76 = 186,286.15/x
  3. Step 3: Cross multiply
    470,644.01x = 706,255.76 × 186,286.15
  4. Step 4: Simplify right side
    470,644.01x = 131,565,666,445.72
  5. Step 5: Solve for x
    x = 131,565,666,445.72/470,644.01
  6. Step 6: Final answer
    x = 279,543.91

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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.