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Finding the Fourth Proportional to 567,460.35, 783,100.61 and 312,820.65

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Solution

The fourth proportional to 567,460.35, 783,100.61 and 312,820.65 is: 431,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,460.35 : 783,100.61 = 312,820.65 : x
  2. Step 2: Convert to fraction form
    567,460.35/783,100.61 = 312,820.65/x
  3. Step 3: Cross multiply
    567,460.35x = 783,100.61 × 312,820.65
  4. Step 4: Simplify right side
    567,460.35x = 244,970,041,835.60
  5. Step 5: Solve for x
    x = 244,970,041,835.60/567,460.35
  6. Step 6: Final answer
    x = 431,695.43

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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.