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Finding the Fourth Proportional to 565,102.30, 847,126.38 and 190,863.58

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Solution

The fourth proportional to 565,102.30, 847,126.38 and 190,863.58 is: 286,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,102.30 : 847,126.38 = 190,863.58 : x
  2. Step 2: Convert to fraction form
    565,102.30/847,126.38 = 190,863.58/x
  3. Step 3: Cross multiply
    565,102.30x = 847,126.38 × 190,863.58
  4. Step 4: Simplify right side
    565,102.30x = 161,685,573,599.24
  5. Step 5: Solve for x
    x = 161,685,573,599.24/565,102.30
  6. Step 6: Final answer
    x = 286,117.35

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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.