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Finding the Fourth Proportional to 414,005.80, 621,008.70 and 288,034.60

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Solution

The fourth proportional to 414,005.80, 621,008.70 and 288,034.60 is: 432,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,005.80 : 621,008.70 = 288,034.60 : x
  2. Step 2: Convert to fraction form
    414,005.80/621,008.70 = 288,034.60/x
  3. Step 3: Cross multiply
    414,005.80x = 621,008.70 × 288,034.60
  4. Step 4: Simplify right side
    414,005.80x = 178,871,992,501.02
  5. Step 5: Solve for x
    x = 178,871,992,501.02/414,005.80
  6. Step 6: Final answer
    x = 432,051.90

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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.