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Finding the Fourth Proportional to 301,602.85, 416,373.52 and 232,541.48

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Solution

The fourth proportional to 301,602.85, 416,373.52 and 232,541.48 is: 321,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,602.85 : 416,373.52 = 232,541.48 : x
  2. Step 2: Convert to fraction form
    301,602.85/416,373.52 = 232,541.48/x
  3. Step 3: Cross multiply
    301,602.85x = 416,373.52 × 232,541.48
  4. Step 4: Simplify right side
    301,602.85x = 96,824,111,910.39
  5. Step 5: Solve for x
    x = 96,824,111,910.39/301,602.85
  6. Step 6: Final answer
    x = 321,031.82

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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.