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Finding the Fourth Proportional to 588,036.78, 810,631.71 and 415,650.56

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Solution

The fourth proportional to 588,036.78, 810,631.71 and 415,650.56 is: 572,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,036.78 : 810,631.71 = 415,650.56 : x
  2. Step 2: Convert to fraction form
    588,036.78/810,631.71 = 415,650.56/x
  3. Step 3: Cross multiply
    588,036.78x = 810,631.71 × 415,650.56
  4. Step 4: Simplify right side
    588,036.78x = 336,939,520,162.10
  5. Step 5: Solve for x
    x = 336,939,520,162.10/588,036.78
  6. Step 6: Final answer
    x = 572,990.55

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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.