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Finding the Fourth Proportional to 310,998.08, 466,518.31 and 105,749.16

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Solution

The fourth proportional to 310,998.08, 466,518.31 and 105,749.16 is: 158,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,998.08 : 466,518.31 = 105,749.16 : x
  2. Step 2: Convert to fraction form
    310,998.08/466,518.31 = 105,749.16/x
  3. Step 3: Cross multiply
    310,998.08x = 466,518.31 × 105,749.16
  4. Step 4: Simplify right side
    310,998.08x = 49,333,917,393.30
  5. Step 5: Solve for x
    x = 49,333,917,393.30/310,998.08
  6. Step 6: Final answer
    x = 158,630.94

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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.