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Finding the Fourth Proportional to 599,780.16, 827,702.18 and 341,653.41

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Solution

The fourth proportional to 599,780.16, 827,702.18 and 341,653.41 is: 471,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,780.16 : 827,702.18 = 341,653.41 : x
  2. Step 2: Convert to fraction form
    599,780.16/827,702.18 = 341,653.41/x
  3. Step 3: Cross multiply
    599,780.16x = 827,702.18 × 341,653.41
  4. Step 4: Simplify right side
    599,780.16x = 282,787,271,834.37
  5. Step 5: Solve for x
    x = 282,787,271,834.37/599,780.16
  6. Step 6: Final answer
    x = 471,484.87

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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.