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Finding the Fourth Proportional to 433,266.56, 649,913.28 and 117,722.24

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Solution

The fourth proportional to 433,266.56, 649,913.28 and 117,722.24 is: 176,587.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,266.56 : 649,913.28 = 117,722.24 : x
  2. Step 2: Convert to fraction form
    433,266.56/649,913.28 = 117,722.24/x
  3. Step 3: Cross multiply
    433,266.56x = 649,913.28 × 117,722.24
  4. Step 4: Simplify right side
    433,266.56x = 76,509,247,127.35
  5. Step 5: Solve for x
    x = 76,509,247,127.35/433,266.56
  6. Step 6: Final answer
    x = 176,587.01

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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.