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Finding the Fourth Proportional to 301,146.97, 415,581.69 and 186,402.76

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Solution

The fourth proportional to 301,146.97, 415,581.69 and 186,402.76 is: 257,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,146.97 : 415,581.69 = 186,402.76 : x
  2. Step 2: Convert to fraction form
    301,146.97/415,581.69 = 186,402.76/x
  3. Step 3: Cross multiply
    301,146.97x = 415,581.69 × 186,402.76
  4. Step 4: Simplify right side
    301,146.97x = 77,465,574,021.46
  5. Step 5: Solve for x
    x = 77,465,574,021.46/301,146.97
  6. Step 6: Final answer
    x = 257,235.11

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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.