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Finding the Fourth Proportional to 302,276.78, 416,858.76 and 187,574.02

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Solution

The fourth proportional to 302,276.78, 416,858.76 and 187,574.02 is: 258,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,276.78 : 416,858.76 = 187,574.02 : x
  2. Step 2: Convert to fraction form
    302,276.78/416,858.76 = 187,574.02/x
  3. Step 3: Cross multiply
    302,276.78x = 416,858.76 × 187,574.02
  4. Step 4: Simplify right side
    302,276.78x = 78,191,873,385.42
  5. Step 5: Solve for x
    x = 78,191,873,385.42/302,276.78
  6. Step 6: Final answer
    x = 258,676.41

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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.