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Finding the Fourth Proportional to 464,712.96, 697,003.56 and 149,129.04

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Solution

The fourth proportional to 464,712.96, 697,003.56 and 149,129.04 is: 223,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,712.96 : 697,003.56 = 149,129.04 : x
  2. Step 2: Convert to fraction form
    464,712.96/697,003.56 = 149,129.04/x
  3. Step 3: Cross multiply
    464,712.96x = 697,003.56 × 149,129.04
  4. Step 4: Simplify right side
    464,712.96x = 103,943,471,779.38
  5. Step 5: Solve for x
    x = 103,943,471,779.38/464,712.96
  6. Step 6: Final answer
    x = 223,672.42

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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.