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Finding the Fourth Proportional to 713,892.06, 1,070,493.64 and 414,448.02

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Solution

The fourth proportional to 713,892.06, 1,070,493.64 and 414,448.02 is: 621,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,892.06 : 1,070,493.64 = 414,448.02 : x
  2. Step 2: Convert to fraction form
    713,892.06/1,070,493.64 = 414,448.02/x
  3. Step 3: Cross multiply
    713,892.06x = 1,070,493.64 × 414,448.02
  4. Step 4: Simplify right side
    713,892.06x = 443,663,969,520.59
  5. Step 5: Solve for x
    x = 443,663,969,520.59/713,892.06
  6. Step 6: Final answer
    x = 621,472.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.