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Finding the Fourth Proportional to 301,401.83, 415,927.77 and 165,434.82

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Solution

The fourth proportional to 301,401.83, 415,927.77 and 165,434.82 is: 228,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,401.83 : 415,927.77 = 165,434.82 : x
  2. Step 2: Convert to fraction form
    301,401.83/415,927.77 = 165,434.82/x
  3. Step 3: Cross multiply
    301,401.83x = 415,927.77 × 165,434.82
  4. Step 4: Simplify right side
    301,401.83x = 68,808,935,762.95
  5. Step 5: Solve for x
    x = 68,808,935,762.95/301,401.83
  6. Step 6: Final answer
    x = 228,296.35

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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.