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Finding the Fourth Proportional to 294,378.11, 406,294.80 and 173,512.34

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Solution

The fourth proportional to 294,378.11, 406,294.80 and 173,512.34 is: 239,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,378.11 : 406,294.80 = 173,512.34 : x
  2. Step 2: Convert to fraction form
    294,378.11/406,294.80 = 173,512.34/x
  3. Step 3: Cross multiply
    294,378.11x = 406,294.80 × 173,512.34
  4. Step 4: Simplify right side
    294,378.11x = 70,497,159,446.36
  5. Step 5: Solve for x
    x = 70,497,159,446.36/294,378.11
  6. Step 6: Final answer
    x = 239,478.27

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1.5x scale

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.