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Finding the Fourth Proportional to 293,695.40, 412,003 and 293,695.40

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Solution

The fourth proportional to 293,695.40, 412,003 and 293,695.40 is: 412,003

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,695.40 : 412,003 = 293,695.40 : x
  2. Step 2: Convert to fraction form
    293,695.40/412,003 = 293,695.40/x
  3. Step 3: Cross multiply
    293,695.40x = 412,003 × 293,695.40
  4. Step 4: Simplify right side
    293,695.40x = 121,003,385,886.20
  5. Step 5: Solve for x
    x = 121,003,385,886.20/293,695.40
  6. Step 6: Final answer
    x = 412,003

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.