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Finding the Fourth Proportional to 473,235.98, 653,079.94 and 269,316.15

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Solution

The fourth proportional to 473,235.98, 653,079.94 and 269,316.15 is: 371,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,235.98 : 653,079.94 = 269,316.15 : x
  2. Step 2: Convert to fraction form
    473,235.98/653,079.94 = 269,316.15/x
  3. Step 3: Cross multiply
    473,235.98x = 653,079.94 × 269,316.15
  4. Step 4: Simplify right side
    473,235.98x = 175,884,975,083.03
  5. Step 5: Solve for x
    x = 175,884,975,083.03/473,235.98
  6. Step 6: Final answer
    x = 371,664.42

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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.