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Finding the Fourth Proportional to 314,827.40, 472,197.90 and 104,443.40

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Solution

The fourth proportional to 314,827.40, 472,197.90 and 104,443.40 is: 156,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,827.40 : 472,197.90 = 104,443.40 : x
  2. Step 2: Convert to fraction form
    314,827.40/472,197.90 = 104,443.40/x
  3. Step 3: Cross multiply
    314,827.40x = 472,197.90 × 104,443.40
  4. Step 4: Simplify right side
    314,827.40x = 49,317,954,148.86
  5. Step 5: Solve for x
    x = 49,317,954,148.86/314,827.40
  6. Step 6: Final answer
    x = 156,650.77

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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.