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Finding the Fourth Proportional to 567,416.16, 783,034.11 and 312,771.60

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Solution

The fourth proportional to 567,416.16, 783,034.11 and 312,771.60 is: 431,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,416.16 : 783,034.11 = 312,771.60 : x
  2. Step 2: Convert to fraction form
    567,416.16/783,034.11 = 312,771.60/x
  3. Step 3: Cross multiply
    567,416.16x = 783,034.11 × 312,771.60
  4. Step 4: Simplify right side
    567,416.16x = 244,910,831,439.28
  5. Step 5: Solve for x
    x = 244,910,831,439.28/567,416.16
  6. Step 6: Final answer
    x = 431,624.70

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1.5x scale

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.