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Finding the Fourth Proportional to 282,328.64, 423,804 and 238,497.92

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Solution

The fourth proportional to 282,328.64, 423,804 and 238,497.92 is: 358,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,328.64 : 423,804 = 238,497.92 : x
  2. Step 2: Convert to fraction form
    282,328.64/423,804 = 238,497.92/x
  3. Step 3: Cross multiply
    282,328.64x = 423,804 × 238,497.92
  4. Step 4: Simplify right side
    282,328.64x = 101,076,372,487.68
  5. Step 5: Solve for x
    x = 101,076,372,487.68/282,328.64
  6. Step 6: Final answer
    x = 358,009.63

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Why These Related Problems?

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