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Finding the Fourth Proportional to 475,362.48, 713,196.15 and 138,423.36

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Solution

The fourth proportional to 475,362.48, 713,196.15 and 138,423.36 is: 207,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,362.48 : 713,196.15 = 138,423.36 : x
  2. Step 2: Convert to fraction form
    475,362.48/713,196.15 = 138,423.36/x
  3. Step 3: Cross multiply
    475,362.48x = 713,196.15 × 138,423.36
  4. Step 4: Simplify right side
    475,362.48x = 98,723,007,422.06
  5. Step 5: Solve for x
    x = 98,723,007,422.06/475,362.48
  6. Step 6: Final answer
    x = 207,679.43

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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.