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Finding the Fourth Proportional to 282,043.20, 423,295.20 and 272,827.20

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Solution

The fourth proportional to 282,043.20, 423,295.20 and 272,827.20 is: 409,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,043.20 : 423,295.20 = 272,827.20 : x
  2. Step 2: Convert to fraction form
    282,043.20/423,295.20 = 272,827.20/x
  3. Step 3: Cross multiply
    282,043.20x = 423,295.20 × 272,827.20
  4. Step 4: Simplify right side
    282,043.20x = 115,486,444,189.44
  5. Step 5: Solve for x
    x = 115,486,444,189.44/282,043.20
  6. Step 6: Final answer
    x = 409,463.67

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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.