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Finding the Fourth Proportional to 451,955.76, 677,973.04 and 148,258.86

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Solution

The fourth proportional to 451,955.76, 677,973.04 and 148,258.86 is: 222,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,955.76 : 677,973.04 = 148,258.86 : x
  2. Step 2: Convert to fraction form
    451,955.76/677,973.04 = 148,258.86/x
  3. Step 3: Cross multiply
    451,955.76x = 677,973.04 × 148,258.86
  4. Step 4: Simplify right side
    451,955.76x = 100,515,506,631.27
  5. Step 5: Solve for x
    x = 100,515,506,631.27/451,955.76
  6. Step 6: Final answer
    x = 222,401.21

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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.