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Finding the Fourth Proportional to 301,838.86, 416,290.43 and 187,037.76

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Solution

The fourth proportional to 301,838.86, 416,290.43 and 187,037.76 is: 257,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,838.86 : 416,290.43 = 187,037.76 : x
  2. Step 2: Convert to fraction form
    301,838.86/416,290.43 = 187,037.76/x
  3. Step 3: Cross multiply
    301,838.86x = 416,290.43 × 187,037.76
  4. Step 4: Simplify right side
    301,838.86x = 77,862,029,536.64
  5. Step 5: Solve for x
    x = 77,862,029,536.64/301,838.86
  6. Step 6: Final answer
    x = 257,958.93

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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.