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Finding the Fourth Proportional to 424,400.40, 585,677.44 and 233,416.98

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Solution

The fourth proportional to 424,400.40, 585,677.44 and 233,416.98 is: 322,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,400.40 : 585,677.44 = 233,416.98 : x
  2. Step 2: Convert to fraction form
    424,400.40/585,677.44 = 233,416.98/x
  3. Step 3: Cross multiply
    424,400.40x = 585,677.44 × 233,416.98
  4. Step 4: Simplify right side
    424,400.40x = 136,707,059,298.93
  5. Step 5: Solve for x
    x = 136,707,059,298.93/424,400.40
  6. Step 6: Final answer
    x = 322,118.12

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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.