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Finding the Fourth Proportional to 282,395.34, 389,746.35 and 169,228.62

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Solution

The fourth proportional to 282,395.34, 389,746.35 and 169,228.62 is: 233,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,395.34 : 389,746.35 = 169,228.62 : x
  2. Step 2: Convert to fraction form
    282,395.34/389,746.35 = 169,228.62/x
  3. Step 3: Cross multiply
    282,395.34x = 389,746.35 × 169,228.62
  4. Step 4: Simplify right side
    282,395.34x = 65,956,236,960.54
  5. Step 5: Solve for x
    x = 65,956,236,960.54/282,395.34
  6. Step 6: Final answer
    x = 233,559.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.