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Finding the Fourth Proportional to 256,429.81, 384,688.46 and 114,326.65

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Solution

The fourth proportional to 256,429.81, 384,688.46 and 114,326.65 is: 171,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,429.81 : 384,688.46 = 114,326.65 : x
  2. Step 2: Convert to fraction form
    256,429.81/384,688.46 = 114,326.65/x
  3. Step 3: Cross multiply
    256,429.81x = 384,688.46 × 114,326.65
  4. Step 4: Simplify right side
    256,429.81x = 43,980,142,925.46
  5. Step 5: Solve for x
    x = 43,980,142,925.46/256,429.81
  6. Step 6: Final answer
    x = 171,509.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.