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Finding the Fourth Proportional to 567,105.84, 782,570.06 and 312,457.03

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Solution

The fourth proportional to 567,105.84, 782,570.06 and 312,457.03 is: 431,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,105.84 : 782,570.06 = 312,457.03 : x
  2. Step 2: Convert to fraction form
    567,105.84/782,570.06 = 312,457.03/x
  3. Step 3: Cross multiply
    567,105.84x = 782,570.06 × 312,457.03
  4. Step 4: Simplify right side
    567,105.84x = 244,519,514,367.53
  5. Step 5: Solve for x
    x = 244,519,514,367.53/567,105.84
  6. Step 6: Final answer
    x = 431,170.86

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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.