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Finding the Fourth Proportional to 302,057.46, 416,854.26 and 187,373.06

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Solution

The fourth proportional to 302,057.46, 416,854.26 and 187,373.06 is: 258,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,057.46 : 416,854.26 = 187,373.06 : x
  2. Step 2: Convert to fraction form
    302,057.46/416,854.26 = 187,373.06/x
  3. Step 3: Cross multiply
    302,057.46x = 416,854.26 × 187,373.06
  4. Step 4: Simplify right side
    302,057.46x = 78,107,255,249.10
  5. Step 5: Solve for x
    x = 78,107,255,249.10/302,057.46
  6. Step 6: Final answer
    x = 258,584.10

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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.