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Finding the Fourth Proportional to 419,110.48, 628,759.47 and 152,871.00

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Solution

The fourth proportional to 419,110.48, 628,759.47 and 152,871.00 is: 229,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,110.48 : 628,759.47 = 152,871.00 : x
  2. Step 2: Convert to fraction form
    419,110.48/628,759.47 = 152,871.00/x
  3. Step 3: Cross multiply
    419,110.48x = 628,759.47 × 152,871.00
  4. Step 4: Simplify right side
    419,110.48x = 96,119,087,153.79
  5. Step 5: Solve for x
    x = 96,119,087,153.79/419,110.48
  6. Step 6: Final answer
    x = 229,340.69

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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.