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Finding the Fourth Proportional to 301,401.54, 415,490.04 and 229,657.14

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Solution

The fourth proportional to 301,401.54, 415,490.04 and 229,657.14 is: 316,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,401.54 : 415,490.04 = 229,657.14 : x
  2. Step 2: Convert to fraction form
    301,401.54/415,490.04 = 229,657.14/x
  3. Step 3: Cross multiply
    301,401.54x = 415,490.04 × 229,657.14
  4. Step 4: Simplify right side
    301,401.54x = 95,420,254,284.89
  5. Step 5: Solve for x
    x = 95,420,254,284.89/301,401.54
  6. Step 6: Final answer
    x = 316,588.48

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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.