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Finding the Fourth Proportional to 433,659.93, 650,784.22 and 153,177.18

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Solution

The fourth proportional to 433,659.93, 650,784.22 and 153,177.18 is: 229,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,659.93 : 650,784.22 = 153,177.18 : x
  2. Step 2: Convert to fraction form
    433,659.93/650,784.22 = 153,177.18/x
  3. Step 3: Cross multiply
    433,659.93x = 650,784.22 × 153,177.18
  4. Step 4: Simplify right side
    433,659.93x = 99,685,289,646.34
  5. Step 5: Solve for x
    x = 99,685,289,646.34/433,659.93
  6. Step 6: Final answer
    x = 229,869.73

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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.