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Finding the Fourth Proportional to 473,727.42, 653,716.08 and 258,869.16

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Solution

The fourth proportional to 473,727.42, 653,716.08 and 258,869.16 is: 357,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,727.42 : 653,716.08 = 258,869.16 : x
  2. Step 2: Convert to fraction form
    473,727.42/653,716.08 = 258,869.16/x
  3. Step 3: Cross multiply
    473,727.42x = 653,716.08 × 258,869.16
  4. Step 4: Simplify right side
    473,727.42x = 169,226,932,508.09
  5. Step 5: Solve for x
    x = 169,226,932,508.09/473,727.42
  6. Step 6: Final answer
    x = 357,224.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.