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Finding the Fourth Proportional to 282,826.70, 424,230.45 and 72,466.70

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Solution

The fourth proportional to 282,826.70, 424,230.45 and 72,466.70 is: 108,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,826.70 : 424,230.45 = 72,466.70 : x
  2. Step 2: Convert to fraction form
    282,826.70/424,230.45 = 72,466.70/x
  3. Step 3: Cross multiply
    282,826.70x = 424,230.45 × 72,466.70
  4. Step 4: Simplify right side
    282,826.70x = 30,742,580,751.02
  5. Step 5: Solve for x
    x = 30,742,580,751.02/282,826.70
  6. Step 6: Final answer
    x = 108,697.59

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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.