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Finding the Fourth Proportional to 415,859.65, 623,697.50 and 116,259.68

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Solution

The fourth proportional to 415,859.65, 623,697.50 and 116,259.68 is: 174,363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,859.65 : 623,697.50 = 116,259.68 : x
  2. Step 2: Convert to fraction form
    415,859.65/623,697.50 = 116,259.68/x
  3. Step 3: Cross multiply
    415,859.65x = 623,697.50 × 116,259.68
  4. Step 4: Simplify right side
    415,859.65x = 72,510,873,616.69
  5. Step 5: Solve for x
    x = 72,510,873,616.69/415,859.65
  6. Step 6: Final answer
    x = 174,363.81

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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.