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Finding the Fourth Proportional to 301,784.04, 416,498.76 and 172,770.48

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Solution

The fourth proportional to 301,784.04, 416,498.76 and 172,770.48 is: 238,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,784.04 : 416,498.76 = 172,770.48 : x
  2. Step 2: Convert to fraction form
    301,784.04/416,498.76 = 172,770.48/x
  3. Step 3: Cross multiply
    301,784.04x = 416,498.76 × 172,770.48
  4. Step 4: Simplify right side
    301,784.04x = 71,958,690,684.60
  5. Step 5: Solve for x
    x = 71,958,690,684.60/301,784.04
  6. Step 6: Final answer
    x = 238,444.32

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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.