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Finding the Fourth Proportional to 384,446.16, 530,565 and 282,936.36

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Solution

The fourth proportional to 384,446.16, 530,565 and 282,936.36 is: 390,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,446.16 : 530,565 = 282,936.36 : x
  2. Step 2: Convert to fraction form
    384,446.16/530,565 = 282,936.36/x
  3. Step 3: Cross multiply
    384,446.16x = 530,565 × 282,936.36
  4. Step 4: Simplify right side
    384,446.16x = 150,116,129,843.40
  5. Step 5: Solve for x
    x = 150,116,129,843.40/384,446.16
  6. Step 6: Final answer
    x = 390,473.74

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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.