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Finding the Fourth Proportional to 566,714.50, 782,066.01 and 312,065.08

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Solution

The fourth proportional to 566,714.50, 782,066.01 and 312,065.08 is: 430,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,714.50 : 782,066.01 = 312,065.08 : x
  2. Step 2: Convert to fraction form
    566,714.50/782,066.01 = 312,065.08/x
  3. Step 3: Cross multiply
    566,714.50x = 782,066.01 × 312,065.08
  4. Step 4: Simplify right side
    566,714.50x = 244,055,491,975.93
  5. Step 5: Solve for x
    x = 244,055,491,975.93/566,714.50
  6. Step 6: Final answer
    x = 430,649.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.