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Finding the Fourth Proportional to 433,098.80, 649,647.88 and 117,602

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Solution

The fourth proportional to 433,098.80, 649,647.88 and 117,602 is: 176,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,098.80 : 649,647.88 = 117,602 : x
  2. Step 2: Convert to fraction form
    433,098.80/649,647.88 = 117,602/x
  3. Step 3: Cross multiply
    433,098.80x = 649,647.88 × 117,602
  4. Step 4: Simplify right side
    433,098.80x = 76,399,889,983.76
  5. Step 5: Solve for x
    x = 76,399,889,983.76/433,098.80
  6. Step 6: Final answer
    x = 176,402.91

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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.