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Finding the Fourth Proportional to 567,513.16, 783,173.40 and 312,873.46

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Solution

The fourth proportional to 567,513.16, 783,173.40 and 312,873.46 is: 431,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,513.16 : 783,173.40 = 312,873.46 : x
  2. Step 2: Convert to fraction form
    567,513.16/783,173.40 = 312,873.46/x
  3. Step 3: Cross multiply
    567,513.16x = 783,173.40 × 312,873.46
  4. Step 4: Simplify right side
    567,513.16x = 245,034,171,437.96
  5. Step 5: Solve for x
    x = 245,034,171,437.96/567,513.16
  6. Step 6: Final answer
    x = 431,768.26

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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.