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Finding the Fourth Proportional to 473,462.73, 653,411.93 and 269,513.75

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Solution

The fourth proportional to 473,462.73, 653,411.93 and 269,513.75 is: 371,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,462.73 : 653,411.93 = 269,513.75 : x
  2. Step 2: Convert to fraction form
    473,462.73/653,411.93 = 269,513.75/x
  3. Step 3: Cross multiply
    473,462.73x = 653,411.93 × 269,513.75
  4. Step 4: Simplify right side
    473,462.73x = 176,103,494,934.41
  5. Step 5: Solve for x
    x = 176,103,494,934.41/473,462.73
  6. Step 6: Final answer
    x = 371,947.96

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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.