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Finding the Fourth Proportional to 713,309.57, 1,070,104.21 and 264,034.22

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Solution

The fourth proportional to 713,309.57, 1,070,104.21 and 264,034.22 is: 396,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,309.57 : 1,070,104.21 = 264,034.22 : x
  2. Step 2: Convert to fraction form
    713,309.57/1,070,104.21 = 264,034.22/x
  3. Step 3: Cross multiply
    713,309.57x = 1,070,104.21 × 264,034.22
  4. Step 4: Simplify right side
    713,309.57x = 282,544,132,421.24
  5. Step 5: Solve for x
    x = 282,544,132,421.24/713,309.57
  6. Step 6: Final answer
    x = 396,103.10

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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.