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Finding the Fourth Proportional to 447,120, 616,713.12 and 294,109.92

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Solution

The fourth proportional to 447,120, 616,713.12 and 294,109.92 is: 405,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,120 : 616,713.12 = 294,109.92 : x
  2. Step 2: Convert to fraction form
    447,120/616,713.12 = 294,109.92/x
  3. Step 3: Cross multiply
    447,120x = 616,713.12 × 294,109.92
  4. Step 4: Simplify right side
    447,120x = 181,381,446,386.15
  5. Step 5: Solve for x
    x = 181,381,446,386.15/447,120
  6. Step 6: Final answer
    x = 405,666.14

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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.