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Finding the Fourth Proportional to 473,727.33, 653,716.17 and 258,869.16

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Solution

The fourth proportional to 473,727.33, 653,716.17 and 258,869.16 is: 357,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,727.33 : 653,716.17 = 258,869.16 : x
  2. Step 2: Convert to fraction form
    473,727.33/653,716.17 = 258,869.16/x
  3. Step 3: Cross multiply
    473,727.33x = 653,716.17 × 258,869.16
  4. Step 4: Simplify right side
    473,727.33x = 169,226,955,806.32
  5. Step 5: Solve for x
    x = 169,226,955,806.32/473,727.33
  6. Step 6: Final answer
    x = 357,224.39

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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.