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Finding the Fourth Proportional to 433,062.88, 649,681.92 and 180,362.40

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Solution

The fourth proportional to 433,062.88, 649,681.92 and 180,362.40 is: 270,580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,062.88 : 649,681.92 = 180,362.40 : x
  2. Step 2: Convert to fraction form
    433,062.88/649,681.92 = 180,362.40/x
  3. Step 3: Cross multiply
    433,062.88x = 649,681.92 × 180,362.40
  4. Step 4: Simplify right side
    433,062.88x = 117,178,190,327.81
  5. Step 5: Solve for x
    x = 117,178,190,327.81/433,062.88
  6. Step 6: Final answer
    x = 270,580.08

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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.