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Finding the Fourth Proportional to 301,532.58, 416,030.04 and 194,164.74

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Solution

The fourth proportional to 301,532.58, 416,030.04 and 194,164.74 is: 267,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,532.58 : 416,030.04 = 194,164.74 : x
  2. Step 2: Convert to fraction form
    301,532.58/416,030.04 = 194,164.74/x
  3. Step 3: Cross multiply
    301,532.58x = 416,030.04 × 194,164.74
  4. Step 4: Simplify right side
    301,532.58x = 80,778,364,548.79
  5. Step 5: Solve for x
    x = 80,778,364,548.79/301,532.58
  6. Step 6: Final answer
    x = 267,892.66

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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.