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Finding the Fourth Proportional to 567,265.68, 782,832 and 312,626.16

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Solution

The fourth proportional to 567,265.68, 782,832 and 312,626.16 is: 431,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,265.68 : 782,832 = 312,626.16 : x
  2. Step 2: Convert to fraction form
    567,265.68/782,832 = 312,626.16/x
  3. Step 3: Cross multiply
    567,265.68x = 782,832 × 312,626.16
  4. Step 4: Simplify right side
    567,265.68x = 244,733,762,085.12
  5. Step 5: Solve for x
    x = 244,733,762,085.12/567,265.68
  6. Step 6: Final answer
    x = 431,427.06

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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.