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Finding the Fourth Proportional to 282,415, 423,797.58 and 164,142.04

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Solution

The fourth proportional to 282,415, 423,797.58 and 164,142.04 is: 246,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,415 : 423,797.58 = 164,142.04 : x
  2. Step 2: Convert to fraction form
    282,415/423,797.58 = 164,142.04/x
  3. Step 3: Cross multiply
    282,415x = 423,797.58 × 164,142.04
  4. Step 4: Simplify right side
    282,415x = 69,562,999,328.26
  5. Step 5: Solve for x
    x = 69,562,999,328.26/282,415
  6. Step 6: Final answer
    x = 246,314.82

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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.