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Finding the Fourth Proportional to 282,002.70, 423,004.05 and 175,557.90

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Solution

The fourth proportional to 282,002.70, 423,004.05 and 175,557.90 is: 263,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,002.70 : 423,004.05 = 175,557.90 : x
  2. Step 2: Convert to fraction form
    282,002.70/423,004.05 = 175,557.90/x
  3. Step 3: Cross multiply
    282,002.70x = 423,004.05 × 175,557.90
  4. Step 4: Simplify right side
    282,002.70x = 74,261,702,709.50
  5. Step 5: Solve for x
    x = 74,261,702,709.50/282,002.70
  6. Step 6: Final answer
    x = 263,336.85

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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.