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Finding the Fourth Proportional to 317,702.86, 476,554.47 and 199,457.25

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Solution

The fourth proportional to 317,702.86, 476,554.47 and 199,457.25 is: 299,185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,702.86 : 476,554.47 = 199,457.25 : x
  2. Step 2: Convert to fraction form
    317,702.86/476,554.47 = 199,457.25/x
  3. Step 3: Cross multiply
    317,702.86x = 476,554.47 × 199,457.25
  4. Step 4: Simplify right side
    317,702.86x = 95,052,244,061.41
  5. Step 5: Solve for x
    x = 95,052,244,061.41/317,702.86
  6. Step 6: Final answer
    x = 299,185.99

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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.