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Finding the Fourth Proportional to 333,698.08, 500,612.40 and 146,708.96

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Solution

The fourth proportional to 333,698.08, 500,612.40 and 146,708.96 is: 220,092.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,698.08 : 500,612.40 = 146,708.96 : x
  2. Step 2: Convert to fraction form
    333,698.08/500,612.40 = 146,708.96/x
  3. Step 3: Cross multiply
    333,698.08x = 500,612.40 × 146,708.96
  4. Step 4: Simplify right side
    333,698.08x = 73,444,324,567.10
  5. Step 5: Solve for x
    x = 73,444,324,567.10/333,698.08
  6. Step 6: Final answer
    x = 220,092.14

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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.