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Finding the Fourth Proportional to 492,847.29, 680,128.79 and 266,492.25

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Solution

The fourth proportional to 492,847.29, 680,128.79 and 266,492.25 is: 367,759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,847.29 : 680,128.79 = 266,492.25 : x
  2. Step 2: Convert to fraction form
    492,847.29/680,128.79 = 266,492.25/x
  3. Step 3: Cross multiply
    492,847.29x = 680,128.79 × 266,492.25
  4. Step 4: Simplify right side
    492,847.29x = 181,249,050,204.42
  5. Step 5: Solve for x
    x = 181,249,050,204.42/492,847.29
  6. Step 6: Final answer
    x = 367,759.05

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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.