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Finding the Fourth Proportional to 301,729.05, 416,254.14 and 186,977.16

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Solution

The fourth proportional to 301,729.05, 416,254.14 and 186,977.16 is: 257,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,729.05 : 416,254.14 = 186,977.16 : x
  2. Step 2: Convert to fraction form
    301,729.05/416,254.14 = 186,977.16/x
  3. Step 3: Cross multiply
    301,729.05x = 416,254.14 × 186,977.16
  4. Step 4: Simplify right side
    301,729.05x = 77,830,016,935.44
  5. Step 5: Solve for x
    x = 77,830,016,935.44/301,729.05
  6. Step 6: Final answer
    x = 257,946.71

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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.