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Finding the Fourth Proportional to 473,531.89, 653,431.11 and 266,833.93

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Solution

The fourth proportional to 473,531.89, 653,431.11 and 266,833.93 is: 368,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,531.89 : 653,431.11 = 266,833.93 : x
  2. Step 2: Convert to fraction form
    473,531.89/653,431.11 = 266,833.93/x
  3. Step 3: Cross multiply
    473,531.89x = 653,431.11 × 266,833.93
  4. Step 4: Simplify right side
    473,531.89x = 174,357,591,065.56
  5. Step 5: Solve for x
    x = 174,357,591,065.56/473,531.89
  6. Step 6: Final answer
    x = 368,206.65

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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.