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Finding the Fourth Proportional to 495,494.80, 684,066.54 and 326,221

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Solution

The fourth proportional to 495,494.80, 684,066.54 and 326,221 is: 450,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,494.80 : 684,066.54 = 326,221 : x
  2. Step 2: Convert to fraction form
    495,494.80/684,066.54 = 326,221/x
  3. Step 3: Cross multiply
    495,494.80x = 684,066.54 × 326,221
  4. Step 4: Simplify right side
    495,494.80x = 223,156,870,745.34
  5. Step 5: Solve for x
    x = 223,156,870,745.34/495,494.80
  6. Step 6: Final answer
    x = 450,371.77

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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.