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Finding the Fourth Proportional to 473,892.23, 653,971.29 and 259,033.13

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Solution

The fourth proportional to 473,892.23, 653,971.29 and 259,033.13 is: 357,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,892.23 : 653,971.29 = 259,033.13 : x
  2. Step 2: Convert to fraction form
    473,892.23/653,971.29 = 259,033.13/x
  3. Step 3: Cross multiply
    473,892.23x = 653,971.29 × 259,033.13
  4. Step 4: Simplify right side
    473,892.23x = 169,400,230,178.84
  5. Step 5: Solve for x
    x = 169,400,230,178.84/473,892.23
  6. Step 6: Final answer
    x = 357,465.73

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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.