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Finding the Fourth Proportional to 464,854.60, 697,476.30 and 149,408.20

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Solution

The fourth proportional to 464,854.60, 697,476.30 and 149,408.20 is: 224,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,854.60 : 697,476.30 = 149,408.20 : x
  2. Step 2: Convert to fraction form
    464,854.60/697,476.30 = 149,408.20/x
  3. Step 3: Cross multiply
    464,854.60x = 697,476.30 × 149,408.20
  4. Step 4: Simplify right side
    464,854.60x = 104,208,678,525.66
  5. Step 5: Solve for x
    x = 104,208,678,525.66/464,854.60
  6. Step 6: Final answer
    x = 224,174.78

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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.