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Finding the Fourth Proportional to 282,035.60, 423,744.60 and 212,051.60

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Solution

The fourth proportional to 282,035.60, 423,744.60 and 212,051.60 is: 318,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,035.60 : 423,744.60 = 212,051.60 : x
  2. Step 2: Convert to fraction form
    282,035.60/423,744.60 = 212,051.60/x
  3. Step 3: Cross multiply
    282,035.60x = 423,744.60 × 212,051.60
  4. Step 4: Simplify right side
    282,035.60x = 89,855,720,421.36
  5. Step 5: Solve for x
    x = 89,855,720,421.36/282,035.60
  6. Step 6: Final answer
    x = 318,597.09

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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.