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Finding the Fourth Proportional to 282,643.32, 390,046.59 and 161,784

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Solution

The fourth proportional to 282,643.32, 390,046.59 and 161,784 is: 223,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,643.32 : 390,046.59 = 161,784 : x
  2. Step 2: Convert to fraction form
    282,643.32/390,046.59 = 161,784/x
  3. Step 3: Cross multiply
    282,643.32x = 390,046.59 × 161,784
  4. Step 4: Simplify right side
    282,643.32x = 63,103,297,516.56
  5. Step 5: Solve for x
    x = 63,103,297,516.56/282,643.32
  6. Step 6: Final answer
    x = 223,261.24

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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.