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Finding the Fourth Proportional to 301,401.60, 415,931.52 and 165,431.52

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Solution

The fourth proportional to 301,401.60, 415,931.52 and 165,431.52 is: 228,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,401.60 : 415,931.52 = 165,431.52 : x
  2. Step 2: Convert to fraction form
    301,401.60/415,931.52 = 165,431.52/x
  3. Step 3: Cross multiply
    301,401.60x = 415,931.52 × 165,431.52
  4. Step 4: Simplify right side
    301,401.60x = 68,808,183,569.51
  5. Step 5: Solve for x
    x = 68,808,183,569.51/301,401.60
  6. Step 6: Final answer
    x = 228,294.02

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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.