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Finding the Fourth Proportional to 301,428.16, 415,955.82 and 174,096.16

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Solution

The fourth proportional to 301,428.16, 415,955.82 and 174,096.16 is: 240,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,428.16 : 415,955.82 = 174,096.16 : x
  2. Step 2: Convert to fraction form
    301,428.16/415,955.82 = 174,096.16/x
  3. Step 3: Cross multiply
    301,428.16x = 415,955.82 × 174,096.16
  4. Step 4: Simplify right side
    301,428.16x = 72,416,309,951.76
  5. Step 5: Solve for x
    x = 72,416,309,951.76/301,428.16
  6. Step 6: Final answer
    x = 240,244.01

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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.