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Finding the Fourth Proportional to 405,998.64, 608,937.48 and 106,484.40

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Solution

The fourth proportional to 405,998.64, 608,937.48 and 106,484.40 is: 159,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,998.64 : 608,937.48 = 106,484.40 : x
  2. Step 2: Convert to fraction form
    405,998.64/608,937.48 = 106,484.40/x
  3. Step 3: Cross multiply
    405,998.64x = 608,937.48 × 106,484.40
  4. Step 4: Simplify right side
    405,998.64x = 64,842,342,195.31
  5. Step 5: Solve for x
    x = 64,842,342,195.31/405,998.64
  6. Step 6: Final answer
    x = 159,710.74

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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.