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Finding the Fourth Proportional to 473,945.62, 653,981.79 and 304,409.38

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Solution

The fourth proportional to 473,945.62, 653,981.79 and 304,409.38 is: 420,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,945.62 : 653,981.79 = 304,409.38 : x
  2. Step 2: Convert to fraction form
    473,945.62/653,981.79 = 304,409.38/x
  3. Step 3: Cross multiply
    473,945.62x = 653,981.79 × 304,409.38
  4. Step 4: Simplify right side
    473,945.62x = 199,078,191,225.19
  5. Step 5: Solve for x
    x = 199,078,191,225.19/473,945.62
  6. Step 6: Final answer
    x = 420,044.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.