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Finding the Fourth Proportional to 492,957.96, 680,282.43 and 266,603.46

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Solution

The fourth proportional to 492,957.96, 680,282.43 and 266,603.46 is: 367,913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,957.96 : 680,282.43 = 266,603.46 : x
  2. Step 2: Convert to fraction form
    492,957.96/680,282.43 = 266,603.46/x
  3. Step 3: Cross multiply
    492,957.96x = 680,282.43 × 266,603.46
  4. Step 4: Simplify right side
    492,957.96x = 181,365,649,615.21
  5. Step 5: Solve for x
    x = 181,365,649,615.21/492,957.96
  6. Step 6: Final answer
    x = 367,913.02

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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.