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Finding the Fourth Proportional to 433,095.80, 649,643.38 and 117,599

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Solution

The fourth proportional to 433,095.80, 649,643.38 and 117,599 is: 176,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,095.80 : 649,643.38 = 117,599 : x
  2. Step 2: Convert to fraction form
    433,095.80/649,643.38 = 117,599/x
  3. Step 3: Cross multiply
    433,095.80x = 649,643.38 × 117,599
  4. Step 4: Simplify right side
    433,095.80x = 76,397,411,844.62
  5. Step 5: Solve for x
    x = 76,397,411,844.62/433,095.80
  6. Step 6: Final answer
    x = 176,398.41

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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.