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Finding the Fourth Proportional to 567,194.70, 849,990.15 and 314,586.48

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Solution

The fourth proportional to 567,194.70, 849,990.15 and 314,586.48 is: 471,434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,194.70 : 849,990.15 = 314,586.48 : x
  2. Step 2: Convert to fraction form
    567,194.70/849,990.15 = 314,586.48/x
  3. Step 3: Cross multiply
    567,194.70x = 849,990.15 × 314,586.48
  4. Step 4: Simplify right side
    567,194.70x = 267,395,409,323.17
  5. Step 5: Solve for x
    x = 267,395,409,323.17/567,194.70
  6. Step 6: Final answer
    x = 471,434.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.