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Finding the Fourth Proportional to 567,463.10, 783,104.40 and 312,823.40

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Solution

The fourth proportional to 567,463.10, 783,104.40 and 312,823.40 is: 431,699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,463.10 : 783,104.40 = 312,823.40 : x
  2. Step 2: Convert to fraction form
    567,463.10/783,104.40 = 312,823.40/x
  3. Step 3: Cross multiply
    567,463.10x = 783,104.40 × 312,823.40
  4. Step 4: Simplify right side
    567,463.10x = 244,973,380,962.96
  5. Step 5: Solve for x
    x = 244,973,380,962.96/567,463.10
  6. Step 6: Final answer
    x = 431,699.23

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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.