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Finding the Fourth Proportional to 404,413, 558,089.94 and 225,565

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Solution

The fourth proportional to 404,413, 558,089.94 and 225,565 is: 311,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,413 : 558,089.94 = 225,565 : x
  2. Step 2: Convert to fraction form
    404,413/558,089.94 = 225,565/x
  3. Step 3: Cross multiply
    404,413x = 558,089.94 × 225,565
  4. Step 4: Simplify right side
    404,413x = 125,885,557,316.10
  5. Step 5: Solve for x
    x = 125,885,557,316.10/404,413
  6. Step 6: Final answer
    x = 311,279.70

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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.